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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
This edited volume brings together the latest research in understanding the nature, origins, and evolution of human sociability, one of the most intriguing aspects of human psychology. Sociability-our sophisticated ability to interact with others, imagine, plan, and execute interdependent behaviours-lies at the heart of our evolutionary success, and is the most important prerequisite for the development of increasingly elaborate civilizations. With contributions from internationally renowned researchers in areas of social psychology as well as anthropology and evolutionary psychology, this book demonstrates the role of social psychology in explaining how human sociability evolved, how it shapes our mental and emotional lives, and how it influences both large-scale civilizational practices and intimate interpersonal relations. Chapters cover the core psychological characteristics that shape human sociability, including such phenomena as the role of information exchange, affective processes, social norms, power relations, personal relationships, attachment patterns, personality characteristics, and evolutionary pressures. Featuring a wide variety of empirical and theoretical backgrounds, the book will be of interest to students and researchers in all areas of the social sciences, as well as practitioners and applied professionals who deal with issues related to sociability in their daily lives.
Communication Yearbook 25 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume contains critical, integrative reviews of research on democracy and new communication technologies; the Federal Communication Commission's communication policymaking process; cognitive effects of hypermedia; mediation of children's television viewing; informatization, world systems, and developing countries; communication ethics; communication in culturally diverse work groups; and attitudes toward language. In addition, it also includes senior scholars' reviews of research on imagined interactions and symbolic convergence theory. Representing media, interpersonal, intercultural, and other areas of communication, this is an important reference on current research for scholars and students in the social sciences. Each of the chapters make a unique contribution to the field.
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.
Richly illustrated in attractive full-colour and contains pedagogical features such as essay questions, summary and key points, and further reading suggestions is supported by a fully updated companion website, featuring student resources including lecture recordings, multiple choice questions and useful web links, as well as PowerPoint slides for lecturers. The only dedicated textbook on social neuroscience providing a much needed resource for lecturers and students. Suitable for both undergraduate and postgraduate students in psychology and neuroscience from 2nd year to masters level. Relevant courses include social neuroscience, social cognitive neuroscience, the social mind, social cognition, human neuroscience, developmental social neuroscience, etc. The third edition will be updated to reflect the growing volume of evidence and theories in the field and will include additional content on the applications of social neuroscience, social influence, reproducibility issues, and computational approaches. The companion website will include a new test bank.
Psychology of Prejudice and Discrimination provides a comprehensive and compelling overview of what psychological theory and research have to say about the nature, causes, and reduction of prejudice and discrimination. It balances a detailed discussion of theories and selected research with applied examples that ensure the material is relevant to students. This edition has been thoroughly revised and updated and addresses several interlocking themes. It first looks at the nature of prejudice and discrimination, followed by a discussion of research methods. Next come the psychological underpinnings of prejudice: the nature of stereotypes, the conditions under which stereotypes influence responses to other people, contemporary theories of prejudice, and how individuals' values and belief systems are related to prejudice. Explored next are the development of prejudice in children and the social context of prejudice. The theme of discrimination is developed via discussions of the nature of discrimination, the experience of discrimination, and specific forms of discrimination, including gender, gender identity, sexual orientation, age, ability, and appearance. The concluding theme is the reduction of prejudice. The book is accompanied by a comprehensive website featuring an Instructor Manual that contains activities and tools to help with teaching a prejudice and discrimination course; PowerPoint slides for every chapter; and a Test Bank with short answer and multiple-choice exam questions for every chapter. This book is an essential companion for all students of prejudice and discrimination, including those in psychology, education, social work, business, communication studies, ethnic studies, and other disciplines. In addition to courses on prejudice and discrimination, this book will also appeal to those studying racism and diversity.
Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. Samples of these fresh trends are presented in this volume, based on contributions from the Workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.
This book collects papers based on the XXXVI Bialowieza Workshop on Geometric Methods in Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of mathematics and physics, represents a major annual event in the field. Based on presentations given at the Workshop, the papers gathered here are previously unpublished, at the cutting edge of current research, and primarily grounded in geometry and analysis, with applications to classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali, a distinguished mathematical physicist at Concordia University, Montreal, who passed away in January 2016. For the past six years, the Bialowieza Workshops have been complemented by a School on Geometry and Physics, comprising a series of advanced lectures for graduate students and early-career researchers. The extended abstracts of this year's lecture series are also included here. The unique character of the Workshop-and-School series is due in part to the venue: a famous historical, cultural and environmental site in the Bialowieza forest, a UNESCO World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum, and local traditions are interwoven with the scientific activities.
Presenting diverse perspectives from eminent scholars and contemporary researchers, The Handbook of Impression Formation contextualizes current and future areas of research in the social psychology of impression formation within a rich historic framework. Affirming that impression formation is at the core of human experience, chapters explore how and why people form snap judgments about others and when those impressions update. They examine the processes through which people infer the reasons for the events they encounter, allowing people to plan for appropriate behavioral responses to social contexts. The research reviewed is informed by the foundational theory of unconscious automatic processes involved in making judgements of other people, pioneered by Professor Jim Uleman who contributes a chapter that suggests important new directions, and concludes the volume by reflecting on the state of the field more broadly. The book explores how certain attributes stimulate categorization, examining current issues around implicit bias, stereotypes, and social media. Chapters cover a range of approaches, featuring personal narratives, presentation of new data and discoveries, comprehensive literature reviews, and contemplations on where the field must go and what questions require focus for progress to be made, calling for even the most advanced scholars to contribute more to the collective investigation of impression formation. This fascinating work provides a solid foundation from which all researchers can build a new and unique program of research, and arms the reader with the intellectual tools they need to chart new theoretical territory and discover aspects of the human experience we have yet to even wonder about. It is essential reading for students and academics in social psychology, and the social sciences more broadly.
Presenting diverse perspectives from eminent scholars and contemporary researchers, The Handbook of Impression Formation contextualizes current and future areas of research in the social psychology of impression formation within a rich historic framework. Affirming that impression formation is at the core of human experience, chapters explore how and why people form snap judgments about others and when those impressions update. They examine the processes through which people infer the reasons for the events they encounter, allowing people to plan for appropriate behavioral responses to social contexts. The research reviewed is informed by the foundational theory of unconscious automatic processes involved in making judgements of other people, pioneered by Professor Jim Uleman who contributes a chapter that suggests important new directions, and concludes the volume by reflecting on the state of the field more broadly. The book explores how certain attributes stimulate categorization, examining current issues around implicit bias, stereotypes, and social media. Chapters cover a range of approaches, featuring personal narratives, presentation of new data and discoveries, comprehensive literature reviews, and contemplations on where the field must go and what questions require focus for progress to be made, calling for even the most advanced scholars to contribute more to the collective investigation of impression formation. This fascinating work provides a solid foundation from which all researchers can build a new and unique program of research, and arms the reader with the intellectual tools they need to chart new theoretical territory and discover aspects of the human experience we have yet to even wonder about. It is essential reading for students and academics in social psychology, and the social sciences more broadly.
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.
This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found. The present work covers a gap in the literature of more than 35 years, presenting the latest contributions to the field in a modern geometric approach, with special focus on manifolds equipped with pseudo-Riemannian metrics. This unique reference on the topic will be of interest to researchers working in areas of mathematics where homogeneous spaces play an important role, such as Differential Geometry, Global Analysis, General Relativity, and Particle Physics.
Preventing Harmful Behaviour in Online Communities explores the ethics and logistics of censoring problematic communications online that might encourage a person to engage in harmful behaviour. Using an approach based on theories of digital rhetoric and close primary source analysis, Zoe Alderton draws on group dynamics research in relation to the way in which some online communities foster negative and destructive ideas, encouraging community members to engage in practices including self-harm, disordered eating, and suicide. This book offers insight into the dangerous gap between the clinical community and caregivers versus the pro-anorexia and pro-self-harm communities - allowing caregivers or medical professionals to understand hidden online communities young people in their care may be part of. It delves into the often-unanticipated needs of those who band together to resist the healthcare community, suggesting practical ways to address their concerns and encourage healing. Chapters investigate the alarming ease with which ideas of self-harm can infect people through personal contact, community unease, or even fiction and song and the potential of the internet to transmit self-harmful ideas across countries and even periods of time. The book also outlines the real nature of harm-based communities online, examining both their appeal and dangers, while also examining self-censorship and intervention methods for dealing with harmful content online. Rather than pointing to punishment or censorship as best practice, the book offers constructive guidelines that outline a more holistic approach based on the validity of expressing negative mood and the creation of safe peer support networks, making it ideal reading for professionals protecting vulnerable people, as well as students and academics in psychology, mental health, and social care.
This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.
This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.
Psychology of Prejudice and Discrimination provides a comprehensive and compelling overview of what psychological theory and research have to say about the nature, causes, and reduction of prejudice and discrimination. It balances a detailed discussion of theories and selected research with applied examples that ensure the material is relevant to students. This edition has been thoroughly revised and updated and addresses several interlocking themes. It first looks at the nature of prejudice and discrimination, followed by a discussion of research methods. Next come the psychological underpinnings of prejudice: the nature of stereotypes, the conditions under which stereotypes influence responses to other people, contemporary theories of prejudice, and how individuals' values and belief systems are related to prejudice. Explored next are the development of prejudice in children and the social context of prejudice. The theme of discrimination is developed via discussions of the nature of discrimination, the experience of discrimination, and specific forms of discrimination, including gender, gender identity, sexual orientation, age, ability, and appearance. The concluding theme is the reduction of prejudice. The book is accompanied by a comprehensive website featuring an Instructor Manual that contains activities and tools to help with teaching a prejudice and discrimination course; PowerPoint slides for every chapter; and a Test Bank with short answer and multiple-choice exam questions for every chapter. This book is an essential companion for all students of prejudice and discrimination, including those in psychology, education, social work, business, communication studies, ethnic studies, and other disciplines. In addition to courses on prejudice and discrimination, this book will also appeal to those studying racism and diversity.
Originally published in 1981, this volume presents papers from the first Ontario Symposium on Personality and Social Psychology held at the University of Western Ontario from August 25-27, 1978. The general theme of the symposium was social cognition. The chapters have been grouped into two major parts. Chapters 1-5 focus on the implications of cognitive structures for social cognition, with particular emphasis on the nature of social schemata and the organization of social information. Chapters 6-11 focus on the consequences for social cognition of various cognitive processes and mechanisms, including verbal and nonverbal communicative processes, category accessibility, salience and selective attention, hypothesis-testing, and self-centered biases. Chapter 12 comments on the general perspectives taken in the previous chapters and suggests some additional directions for future consideration. Today it can be read and enjoyed in its historical context.
Based on extensive analysis of real-time, authentic crisis encounters collected in the UK and US, Crisis Talk: Negotiating with Individuals in Crisis sheds light on the relatively hidden world of communication between people in crisis and the professionals whose job it is to help them. The crisis situations explored in this book involve police hostage and crisis negotiators and emergency dispatchers interacting with individuals in crisis who threaten suicide or self-harm. The practitioners face various communicative challenges in these encounters, including managing strong emotions, resistance, hostility, and unresponsiveness. Using conversation analysis, Crisis Talk presents evidence on how practitioners deal with the interactional challenge of negotiating with people in crisis and how what they say shapes outcomes. Each chapter includes recommendations based on the detailed analysis of numerous cases of actual negotiation. Crisis Talk shows readers how every turn taken by negotiators can exacerbate or solve the communicative challenges created by crisis situations, making it a unique and invaluable text for academics in psychology, sociology, linguistic sciences, and related fields, as well as for practitioners engaging in crisis negotiation training or fieldwork.
Based on extensive analysis of real-time, authentic crisis encounters collected in the UK and US, Crisis Talk: Negotiating with Individuals in Crisis sheds light on the relatively hidden world of communication between people in crisis and the professionals whose job it is to help them. The crisis situations explored in this book involve police hostage and crisis negotiators and emergency dispatchers interacting with individuals in crisis who threaten suicide or self-harm. The practitioners face various communicative challenges in these encounters, including managing strong emotions, resistance, hostility, and unresponsiveness. Using conversation analysis, Crisis Talk presents evidence on how practitioners deal with the interactional challenge of negotiating with people in crisis and how what they say shapes outcomes. Each chapter includes recommendations based on the detailed analysis of numerous cases of actual negotiation. Crisis Talk shows readers how every turn taken by negotiators can exacerbate or solve the communicative challenges created by crisis situations, making it a unique and invaluable text for academics in psychology, sociology, linguistic sciences, and related fields, as well as for practitioners engaging in crisis negotiation training or fieldwork.
Introduces students to a broad range of interpersonal communication topics, research, and scholars and encourages them to make connections between the scholarship and their own interactions. Interpersonal communication is a core course for communication majors in the US. Outside the US, relevant modules may come from psychology departments or individual modules on communication skills within departments like business. Offers a robust companion website with materials for students and instructors, developed by authors and instructors, and students who have used the text.
This book explores welfare politics, unemployment, and interventions in relation to the labour market from a critical psychological perspective. Using critical fieldwork and theory, the author explores the administration of the unemployed, and the drive to increase labour market participation through strategies of activation. There is a strong and coherent conceptual and theoretical framing for this work, with a critical perspective (essentially, question everything) taking centre stage. It will give an overall coherence in addressing the topic. The theoretical framing is cogent and, in combination with the critical perspective, works well for integrating the material and delivering a fresh approach to this topic. Psychology, Punitive Activation and Welfare will appeal to students engaging with critical psychology, unemployment or policy, by providing a distinct application of theoretical and methodological tools to think differently about the relationship between labour market non/participation, human misery, psychology, and frontline enactment of policy and research.
Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups, the study of evolution equations, and the examination of Riemannian manifolds. This book develops the basic theory of elliptic operators on Lie groups and thereby extends the conventional theory of parabolic evolution equations to a natural non-commutative context. In order to achieve this goal, the author presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis, and the theory of Lie groups. He begins by discussing the abstract theory of general operators with complex coefficients before concentrating on the central case of second-order operators with real coefficients. A full discussion of second-order subellilptic operators is also given. Prerequisites are a familiarity with basic semigroup theory, the elementary theory of Lie groups, and a firm grounding in functional analysis as might be gained from the first year of a graduate course.
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
This book attempts to 'shake up' the current complacency around therapy and 'mental health' behaviours by putting therapy fully into context using Social Contextual Analysis; showing how changes to our social, discursive, and societal environments, rather than changes to an individual's 'mind', will reduce suffering from the 'mental health' behaviours. Guerin challenges many assumptions about both current therapy and psychology, and offers alternative approaches, synthesized from sociology, social anthropology, sociolinguistics, and elsewhere. The book provides a way of addressing the 'mental health' behaviours including actions, talking, thinking, and emotions, by taking people's external life situations into account, and not relying on an imagined 'internal source'. Guerin describes the broad contexts for current Western therapies, referring to social, discursive, cultural, societal, and economic contexts, and suggests that we need to research the components of therapies and stop treating therapies as units. He reframes different types of therapy away from their abstract jargons, offering an alternative approach grounded in our real social worlds, aligning with new thinking that challenges the traditional methods of therapy, and also providing a better framework for rethinking psychology itself. The book ultimately suggests more emphasis should be put on 'mental health' behaviours as arising from social issues including the modern contexts of extreme capitalism, excessive bureaucracy, weakened discursive communities, and changing forms of social relationships. Practical guidelines are provided for building the reimagined therapies into clinics and institutions where labelling and pathologizing the 'mental health' behaviours will no longer be needed. By putting 'mental health' behaviours and therapy into a naturalistic or ecological social sciences framework, this book will be practical and fascinating reading for professional therapists, counsellors, social workers, and mental health nurses, as well as academics interested in psychology and the social sciences more generally.
Communication Yearbook 30 continues the tradition of publishing rich, state-of-the-discipline literature reviews. This volume offers insightful descriptions of research as well as reflections on the implications of those findings for other areas of the discipline. Editor Christina S. Beck presents a diverse, international selection of articles that highlight empirical and theoretical intersections in the communication discipline. Chapters in this volume include reviews of literature on gain-framed and loss-framed messages, conversational topic, organizational rhetoric, work-life research, collaboration, bullying, forgiveness, language revitalization, Latina/o representation in the media, and television viewing patterns of older adults. This volume will be valuable to scholars across the communication discipline. Communication Yearbook 30 will be particularly beneficial to scholars in the areas of interpersonal, health, organizational, family, and intercultural communication; language and social interaction, and media studies.
For the past 55 years, the International Communication Association (ICA) has provided a venue for scholars and researchers to share ideas and findings in all aspects of the field of communication through its expanding publications program and its annual conference. The Association also works to increase visibility for communication scholarship and to foster research internationally. Communication Yearbook 29 centers on the theme of Communication and the Future. Authors in this volume address the future as they review 12 diverse areas of communication research. There have been many changes in the world, and this volume addresses questions such as: Has the discipline of communication kept up with change? Have we adapted to new technology and moved forward in our thinking? What do we as a discipline have to say about the future? Are there new areas in which we should be making a contribution? And are there new ways of looking at long-standing lines of communication research? The focus of this volume is on what we can do as communication scholars to make a difference in everyday life and in the future. Communication Yearbook 29 is an important reference for scholars and graduate students across the field of communication. |
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