This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).

This book explores the role of listening in community engagement and peace building efforts, bridging academic research in communication and practical applications for individual and social change. For all their differences, community engagement and peacebuilding efforts share much in common: the need to establish and agree on achievable and measurable goals, the importance of trust, and the need for conflict management, to name but a few. This book presents listening-considered as a multi-disciplinary concept related to but distinct from civility, civic participation, and other social processes-as a primary mechanism for accomplishing these tasks. Individual chapters explore these themes in an array of international contexts, examining topics such as conflict resolution, restorative justice, environmental justice, migrants and refugees, and trauma-informed peacebuilding. The book includes contemporary literature reviews and theoretical insights covering the role of listening as related to individual, social, and governmental efforts to better engage communities and build, maintain, or establish peace in an increasingly divided world. This collection provides invaluable insight to researchers, students, educators, and practitioners in intercultural and international communication, conflict management, peacebuilding, community engagement, and international studies.

Evolution and the Human-Animal Drive to Conflict examines how fundamental, universal animal drives, such as dominance/prevalence, survival, kinship, and "profit" (greed, advantage, whether of material or social nature), provide the basis for 'the evolutionary trap' that promotes the unstable, conflictive, dominant-prone individual and group human behaviours. Examining this behavioural tension, the book argues that while these innate features set up behaviours that lean towards aggression influenced by social inequalities, the means implemented to defuse them resort to emotional and intellectual strategies that sponsor fanaticism and often reproduce the very same behaviours they intend to defuse. In addressing these concerns, the book argues that we should enhance our resources to promote solidarity, accept cultural differences, deter expansionist and uncontrolled profit drives, and achieve collective access towards knowledge and progress in living conditions. This entails promoting the redistribution of resources and creative labour access and avoiding policies that generate a fragmented world with collective and individual development disparities that invite and encourage dominance behaviours.This resource redistribution asserts that it is necessary to reformulate the global set of human priorities towards increased access to better living conditions, cognitive enhancement, a more amiable interaction with the ecosystem and non-aggressive cultural differences, promote universal access to knowledge and enhance creativity and cultural convivence. These behavioural changes entail partial derangement of our ancestral animal drives camouflaged under different cultural profiles until the species succeeds in replacing the dominance of basic animal drives with prosocial, collective ones. Though it entails a formidable task of confronting financial, military, and religious powers and cultural inertias - human history is also a challenging, continuous experience in these domains - for the sake of our own self-identity and self-evaluation we should reject any suggestion of not continuing embracing slowly constructing collective utopias channelled towards improving individual and collective freedom and creativeness. This book will interest academics and students in social, cognitive, and evolutionary psychology, the neurosciences, paleoanthropology, philosophy, and anthropology.

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s.The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.

Insecurity is an inevitable part of being human. Although life is insecure for every organism, humans alone are burdened by knowing that this is so. This ground-breaking volume features contributions by leading international researchers exploring the social psychology of insecurity, and how existential, metaphysical and social uncertainty influence human social behaviour. Chapters in the book investigate the psychological origins of insecurity, evolutionary theorizing about the functions of insecurity, the motivational strategies people adopt to manage insecurity, self-regulation strategies, the role of insecurity in the formation and maintenance of social relationships, and the influence of insecurity and uncertainty on the organization of larger social systems and public affairs. The chapters also discuss how insecurity influences many areas of contemporary social life, highlighting the applied implications of this line of research. Topics covered include the role of insecurity in social communication, social judgments, decision making, group identification, morality, interpersonal behaviour, relationships, attitudes and many applied aspects of social life and politics where understanding the psychology of insecurity is of critical importance. This accessible and engaging book will be of interest to students, researchers and practitioners as a textbook or reference book in behavioral and social science fields, as well as to a broad spectrum of intelligent lay audience seeking to understand one of the most intriguing issues that shapes human social life.

Insecurity is an inevitable part of being human. Although life is insecure for every organism, humans alone are burdened by knowing that this is so. This ground-breaking volume features contributions by leading international researchers exploring the social psychology of insecurity, and how existential, metaphysical and social uncertainty influence human social behaviour. Chapters in the book investigate the psychological origins of insecurity, evolutionary theorizing about the functions of insecurity, the motivational strategies people adopt to manage insecurity, self-regulation strategies, the role of insecurity in the formation and maintenance of social relationships, and the influence of insecurity and uncertainty on the organization of larger social systems and public affairs. The chapters also discuss how insecurity influences many areas of contemporary social life, highlighting the applied implications of this line of research. Topics covered include the role of insecurity in social communication, social judgments, decision making, group identification, morality, interpersonal behaviour, relationships, attitudes and many applied aspects of social life and politics where understanding the psychology of insecurity is of critical importance. This accessible and engaging book will be of interest to students, researchers and practitioners as a textbook or reference book in behavioral and social science fields, as well as to a broad spectrum of intelligent lay audience seeking to understand one of the most intriguing issues that shapes human social life.

This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick's theorem on areas of lattice polygons and Graham-Pollak's work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.

Groups St Andrews 2009 was held in the University of Bath in August 2009 and this second volume of a two-volume book contains selected papers from the international conference. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the proceedings. This volume contains the contributions by Eammon O'Brien (Auckland), Mark Sapir (Vanderbilt) and Dan Segal (Oxford). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 30 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important.

This book deals with the characterization of extensions of number fields in terms of the decomposition of prime ideals, and with the group-theoretic questions arising from this number-theoretic problem. One special aspect of this question is the equality of Dedekind zeta functions of different number fields. This is an established problem which was solved for abelian extensions by class field theory, but which was only studied in detail in its general form from around 1970. The basis for the new results was a fruitful exchange between number theory and group theory. Some of the outstanidng results are based on the complete classification of all finite simple groups. This book reports on the great progress achieved in this period. It allows access to the new developments in this part of algebraic number theory and contains a unique blend of number theory and group theory. The results appear for the first time in a monograph and they partially extend the published literature.

Psychology of Behavioural Interventions and Pandemic Control is a unique text that examines the COVID-19 pandemic in relation to population risk factors and the efficacy of non-pharmaceutical interventions deployed by many governments around the world to bring the pandemic under control. The book presents critical and insightful lessons that can be drawn up to assess governments' performance in relation to the pandemic and to guide the construction of effective measures to put in place in readiness for any future public health crises on this scale. It starts by examining lessons learned from historical pandemics and then turns to early epidemiological modelling that influenced the decision of many governments to implement wide-ranging interventions designed to bring public behaviour under close control. It also examines the findings of research that tried to understand pre-existing population risks factors which had some mediating influences over COVID-19, mortality rates, and the effects of interventions. Early modelling work is critiqued, and the discussion also identifies weaknesses in early modelling research. The author, Barrie Gunter, goes on to consider ways in which multiple disciplines can be triangulated to produce more comprehensive models of risk. He also offers suggestions on how future pandemic-related research might be constructed to deliver more powerful analyses of the effects of interventions and the role played by different population risk factors. This insight might then deliver better policies for pandemic control and for safe release from that control. This is essential reading for students and researchers in psychology, public health and medical sciences. It would also be of interest to policy makers assessing government strategies, responses and performance.

Psychology of Behavioural Interventions and Pandemic Control is a unique text that examines the COVID-19 pandemic in relation to population risk factors and the efficacy of non-pharmaceutical interventions deployed by many governments around the world to bring the pandemic under control. The book presents critical and insightful lessons that can be drawn up to assess governments' performance in relation to the pandemic and to guide the construction of effective measures to put in place in readiness for any future public health crises on this scale. It starts by examining lessons learned from historical pandemics and then turns to early epidemiological modelling that influenced the decision of many governments to implement wide-ranging interventions designed to bring public behaviour under close control. It also examines the findings of research that tried to understand pre-existing population risks factors which had some mediating influences over COVID-19, mortality rates, and the effects of interventions. Early modelling work is critiqued, and the discussion also identifies weaknesses in early modelling research. The author, Barrie Gunter, goes on to consider ways in which multiple disciplines can be triangulated to produce more comprehensive models of risk. He also offers suggestions on how future pandemic-related research might be constructed to deliver more powerful analyses of the effects of interventions and the role played by different population risk factors. This insight might then deliver better policies for pandemic control and for safe release from that control. This is essential reading for students and researchers in psychology, public health and medical sciences. It would also be of interest to policy makers assessing government strategies, responses and performance.

Edward Conze's The Psychology of Mass Propaganda presents a commentary on the psychology of propaganda and the rise of fascism in Europe in the 1930s. Completed in 1939, during the period of Conze's own inflection from Marxist philosophy to Buddhist studies, the original manuscript was never published and is now in print for the first time. Presenting a unique historical perspective, while also appealing to an acutely topical interest in the conditions under which autocracy and fascism arise, the book examines the psychology of mass propaganda through copious contemporary and historical examples. Conze focuses especially on recent news articles and the statements of the propagandists of many of the governments that would go on to participate in the Second World War, including Germany, Italy, the USSR, USA and UK, all of which he interprets through the lens of recent psychological and historical research. The book has been edited and includes a new introduction by Richard N. Levine and Nathan H. Levine, also featuring a foreword by American legal scholar Laurence H. Tribe, and an afterword by actor, director, writer, and Buddhist priest Peter Coyote. This is a fascinating opportunity for scholars across several disciplines, including political scientists and psychologists, historians and sociologists, to access one of Conze's previously unpublished works. It will also be of importance to those interested in Conze's work on Buddhist philosophy, and in the psychology of propaganda more broadly.

Shows readers how empathy facilitates better communication. Author has years of teaching and consulting experience that has refined his approach to the subject.

Shows readers how empathy facilitates better communication. Author has years of teaching and consulting experience that has refined his approach to the subject.

This edited collection covers the role of the process observer - a position that enhances the effectiveness of group functioning by observing the process, summarizing the behavior of the group so that the group can learn and, if needed, improve its functioning. There is little guidance on best practices for this role, and in most settings, process observers are forced to rely on whatever previous training they have received in group work to fulfil their role. The first of its kind, this book offers a wealth of resources for the role of group process observer organized in a systematic way. Each contributor focuses on a specific aspect of group process observation, identifying what is currently known on the topic, suggesting best practices, and providing the reader with tools, structures, and guidelines for effective process observation. Students and educators of group work courses will find this book integral as it covers the existing gap in literature on group process observation.

This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.

Vamik Volkan examines the impact of past and present historical events, cultural elements, political movements and their mental images on the psyche of individuals. Beginning with the history of the debates concerning the relevance of external events to the human psyche, Volkan moves on to look at the spread of psychoanalysis worldwide and the need to become familiar with the cultural, historical, and political issues when working abroad. The remaining chapters follow the story of a successful businessman who calls himself a 'Muslim Armenian'. His psychological journey clearly illustrates how ghosts from the past can remain alive and active in our lives, and how a clear understanding of his people's history and culture allowed the analyst to understand some important causes of his symptoms and personality characteristics. By presenting a total case report, Volkan illustrates the methods applied to improve the analysand's psychological health. By presenting a case from the viewpoint of a psychoanalytic supervisor, including the supervisor's reactions to the individual being analysed, he has exposed another rich topic to consideration. With this book, Vamik Volkan has given us much to reflect upon.

This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Brings needed focus diversity and inclusion to the discipline of family communication. Suitable for advanced courses in family communication and family studies.

This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1955.

This book differentiates between categories of adolescent male offending and explores the behavioural and social profiles of those who become involved in violent offending and organized crime. Using self-reported and arrest data, the book examines key stages of male adolescent offending with a view to early recognition of behaviours that leave young men vulnerable to criminal exploitation and the escalation of violence. It also explains the importance of understanding crime motivations, how young men view themselves when they offend, and the emotions that they experience. Rather than looking at violent offending as a single category of behavior, the book helps readers differentiate between types of adolescent violence and to understand the underlying psychological and social causes. It offers an insight into the journey of young people who are criminally exploited and those who become involved in committing acts of serious violence and organized crime. It does so by using data from official records, self-reported offending, and the narratives of young people. Each chapter focuses on a particular stage of offending with a view to early identification, support, and diversion. Pathways to Adolescent Male Violent Offending is aimed at practitioners in youth offending services, youth work, policing, and education. It will also be useful for students of forensic and investigative psychology, criminal justice, policing, and child and adolescent mental health.

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Some Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory", which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures - like roads, computers, telephones, social networks - instances of abstract data structures - like lists, stacks, trees - and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.

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.