This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

Elliot Aronson is among the 100 most influential psychologists of the 20th Century. He is best known for his theorizing and research on cognitive dissonance theory -- one of the most provocative and enduring theories in contemporary psychology -- and for his design of the "jigsaw classroom," an applied method of reducing conflict and prejudice in multiethnic schools. Throughout his illustrious career, he has championed the application of social-psychological theory and methods for solving such pressing social problems as prejudice, energy efficiency, conflict and miscommunication in relationships, and the reasons why many people justify their mistakes rather than learn from them. Aronson is the only psychologist in the history of the American Psychological Association to have won all three of its top awards: for research, teaching, and writing. In this Festschrift, friends, colleagues, and former students write with warmth, clarity, and humor about Aronson's enduring influence on the field of social psychology and on their own professional lives as researchers, writers, and teachers. Topics covered include contemporary research on cognitive dissonance theory; the changing face of experimentation in social psychology; and applied research on energy policy, education, the legal system, intergroup conflict, and prejudice and discrimination.

This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.

The disintegration of the Soviet Union in 1991 left 25 million Russians living outside the Russian Federation. This important new book explores their social identity, examining the mutually held perceptions, fears and resulting nationalism of both the ethnic Russians living outside the Russian Federation and the indigenous, or 'titular', populations they live amongst. Based on a unique study involving national surveys conducted in Belarus, Ukraine, Moldova, Georgia and Kazakhstan, the book maps the main individual, intergroup and cross-national factors that shape the fears of 'titulars' and Russians as well as the possible consequences and the risk of ethnic conflict in the five republics. There is detailed statistical analysis of how background factors (personal and national) affect intergroup perceptions; along with discussion of mutual stereotypes, social distance, language and the perception of citizenship and analysis of the dynamics of assimilation and separation of Russians in former soviet states. The attitudes of both groups to other smaller minority groups are also examined. This book provides significant new conclusions on the complexity of intergroup relations and seeks to relate these findings to a general theory of intergroup relations. It will be essential reading for those working in this area within the disciplines of Psychology, Sociology and Politics.

The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.

Originally published in 1963, this book was one of the first to explore group process and working with groups. The introductory chapter tells us that working with groups requires three skills: and understanding of theory, a knowledge of its application, and trained experience in its use. It goes on to discuss these points, helping the reader towards an understanding of group processes and making decisions in groups. This title is an early example of author's explorations of groups and group work, which were to be a major factor in the establishment of group-work practice in Britain over the following years.

The Science of Attitudes is the first book to integrate classic and modern research in the field of attitudes at a scholarly level. Designed primarily for advanced undergraduates and graduate students, the presentation of research will also be useful for current scholars in all disciplines who are interested in how attitudes are formed and changed. The treatment of attitudes is both thorough and unique, taking a historical approach while simultaneously highlighting contemporary views and controversies. The book traces attitudes research from the inception of scientific study following World War II to the issues and methods of research that are prominent features of today's research. Researchers in the field of attitudes will be particularly interested in classic and modern research on the organization, structure, strength and function of attitudes. Researchers in the field of persuasion will be particularly interested in work on attitude change focusing on propositional and associative learning, metacognition and dynamic theories of dissonance, balance and reactance. The book is designed to present the integration of the properties of the attitude with the dynamic considerations of attitude change. The Science of Attitudes is also the first book on attitudes to devote entire chapters to work on implicit measurements, resistance to persuasion, and social neuroscience.

This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory.

Hall argues that 'London was the chief manufacturing centre of the country in 1861, and without doubt for centuries before that'. This book looks at industries in London over time from 1861. This book was first published in 1962.

An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles.
Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type.
The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new approaches to classical results.
The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.

In this single volume, William N. Elwood has gathered potent evidence of the impact that the HIV/AIDS epidemic has had on the world, its communities, and its inhabitants, and he addresses the role of communication in affecting the way in which people respond to AIDS. With a multidisciplinary group of contributors and topics ranging from political rhetoric to interpersonal discourse, Power in the Blood offers a multitude of ways in which to think about power, politics, HIV prevention, and people living with HIV. Readers will be able to use this information in class discussions, program designs, grant applications, and research, as well as in their own lives. With this volume, Elwood makes a thoroughly convincing argument that communication is the key to understanding, treating, and preventing AIDS, and he inspires further action toward the goal of ending the AIDS crisis.

Cross-cultural differences have many important implications for social identity, social cognition, and interpersonal behavior. The 10th volume of the Ontario Symposia on Personality and Social Psychology focuses on East-West cultural differences and similarities and how this research can be applied to cross-cultural studies in general. Culture and Social Behavior covers a range of topics from differences in basic cognitive processes to broad level cultural syndromes that pervade social arrangements, laws, and public representations. Leading researchers in the study of culture and psychology describe their work and their current perspective on the important questions facing the field. Pioneers in the field such as Harry Triandis and Michael Bond present their work, along with those who represent some newer approaches to the study of culture. Richard E. Nisbett concludes the book by discussing the historical development of the field and an examination of which aspects of culture are universal and which are culture-specific. By illustrating both the diversity and vitality of research on the psychology of culture and social behavior, the editors hope this volume will stimulate further research from psychologists of many cultural traditions. Understanding cultural differences is now more important than ever due to their potential to spark conflict, violence, and aggression. As such, this volume is a "must have" for cultural researchers including those in social, cultural, and personality psychology, and interpersonal, cultural, and political communication, anthropology, and sociology.

This volume is the first to bring together the fast-growing research on self-continuity from multiple perspectives within and beyond social psychology. The book covers individual and collective aspects of self-continuity, while a final section explores the relationship between these two forms. Topics include environmental and cultural influences on self-continuity; the interplay of autobiographical memory and personal self-continuity; the psychological function of self-continuity; personal and collective self-continuity; and resistance to change. The volume is rounded off with commentaries on the central issues and themes that have been discussed. The book provides a unique sourcebook for this important topic and will appeal not only to upper-level students and researchers in social psychology, but, in view of the multiple perspectives represented in the volume, it will also appeal to cognitive, developmental, and personality psychologists.

Close Relationships: Functions, Forms and Processes provides an overview of current theory and research in the area of close relationships, written by internationally renowned scholars whose work is at the cutting edge of research in the field. The volume consists of three sections: introductory issues, types of relationships, and relationship processes. In the first section, there is an exploration of the functions and benefits of close relationships, the diversity of methodologies used to study them, and the changing social context in which close relationships are embedded. A second section examines the various types of close relationships, including family bonds and friendships. The third section focuses on key relationship processes, including attachment, intimacy, sexuality, and conflict. This book is designed to be an essential resource for senior undergraduate and postgraduate students, researchers, and practitioners, and will be suitable as a resource in advanced courses dealing with the social psychology of close relationships.

With a more specific focus than the all-encompassing textbook, each title in the "Foundations of Psychology" series enables students who are new to psychology to get to grips with a key area of psychological research, while also developing an understanding of basic concepts, debates, and research methodologies. In this book Diana Jackson-Dwyer presents an introductory survey of classic and recent research on relationships and the theories that underpin them.

The book starts with a brief overview of the place of relationships within the history of psychology and of their evolutionary roots: our need to belong, to attach and to affiliate. After a look at methodology, it considers different types of relationships: kinship, friendship, loving and mating. Theories are advanced to explain the formation, maintenance and breakdown of relationships. The book draws on a wide array of contemporary research, and covers issues ranging from rising divorce rates to cultural variations in mating patterns, the issue of gay marriage, and the effect of the internet on relationships.

Each chapter contains numerous pedagogical features which will help students to engage with the material:

• Chapter-specific learning objectives and summaries of key points
• Study boxes presenting reflective exercises, research questions, and issues for discussion
• Glossaries and suggestions for further reading

Assuming no prior knowledge of the subject, "Interpersonal Relationships "provides" "an accessible" "and up-to-date overview of this vibrant area of psychology. The book will be ideal reading for students who are new to higher-level study - whether at school, college or university, and will also be useful for first-year undergraduate students taking introductory courses in psychology.

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.

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring. Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. The book concludes with useful appendices that contain background material and numerous examples.

Intergroup dialogue is a form of democratic engagement that fosters communication, critical reflection, and collaborative action across social and cultural divides. Engaging social identities is central to this approach. In recent years, intergroup dialogue has emerged as a promising social justice education practice that addresses pressing issues in higher education, school and community settings. This edited volume provides a thoughtful and comprehensive overview of intergroup dialogue spanning conceptual frameworks for practice, and most notably a diverse set of research studies which examine in detail the processes and learning that take place through dialogue. This book addresses questions from the fields of education, social psychology, sociology, and social work, offering specific recommendations and examples related to curriculum and pedagogy. Furthermore, it contributes to an understanding of how to constructively engage students and others in education about difference, identities, and social justice. This book was originally published as a special issue of Equity & Excellence in Education.

A tribute to Robert S. Wyer, Jr.'s remarkable contributions to social psychology, Foundations of Social Cognition offers a compelling analysis of the underlying processes that have long been the focus of Bob Wyer's own research, including attention, perception, inference, and memory. Leading scholars provide an in-depth analysis of these processes as they pertain to one or more substantive areas, including attitudes, construct accessibility, impressions of persons and groups, the interplay between affect and cognition, motivated reasoning, and stereotypes. Each chapter reviews and synthesizes past scholarship with the assessment of current understanding and cutting-edge trends and issues. A "must have" for scholars, researchers, and advanced students in the fields of social and cognitive psychology, as well as those in related fields such as consumer, organizational, and political psychology, neuroscience, marketing, advertising, and communication.

Interpersonal sensitivity refers to the accuracy and/or appropriateness of perceptions, judgments, and responses we have with respect to one another. It is relevant to nearly all aspects of social relations and has long been studied by social, personality, and clinical psychologists. Until now, however, no systematic or comprehensive treatment of this complex concept has been attempted. In this volume the major theorists and researchers of interpersonal sensitivity describe their approaches both critically and integratively. Specific tests and methods are presented and evaluated. The authors address issues ranging from the practical to the broadly theoretical and discuss future challenges. Topics include sensitivity to deception, emotion, personality, and other personal characteristics; empathy; the status of self-reports; dyadic interaction procedures; lens model approaches; correlational and categorical measurement approaches; thin-slice and variance partitioning methodologies; and others. This volume offers the single most comprehensive treatment to date of this widely acknowledged but often vaguely operationalized and communicated social competency.

Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.

Routledge Library Editions: The City reprints some of the most important works in urban studies published in the last century. For further information on this collection please email [email protected].

--Core textbook featuring accessible but advanced coverage of theory, research, and applications in nonverbal communication from renowned scholars --Usable for undergraduate and graduate courses in communication and psychology departments --Includes a new chapter on identity and impression management, as well as fully updated research coverage throughout --Online resources include an extensive instructor's manual and test bank

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.