The papers in this special issue apply two recent data analytic techniques to the study of family and close peer relationships. The Actor-Partner Interdependent Model incorporates the perspectives of both participants in a dyad into analyses that describe shared and unique views of the relationship. The Social Relations Model incorporates the perspectives of all members of a group into analyses that ascribe views unique to individuals and relationships, and views shared by the entire group. Developmental applications of techniques originally designed for concurrent interdependent data are described.

Analyzing Group Interactions gives a comprehensive overview of the use of different methods for the analysis of group interactions. International experts from a range of different disciplines within the social sciences illustrate their step-by-step procedures of how they analyze interactions within groups and explain what kind of data and skills are needed to get started. Each method is discussed in the same, structured manner, focusing on each method's strengths and weaknesses, its applicability and requirements, and the precise workflow to "follow along" when analyzing group interactions with the respective method. The analyzing strategies covered in this book include ethnographical approaches, phenomenology, content analysis, documentary method, discourse analysis, grounded theory, social network analysis, quantitative ratings, and several triangulative and mixed-method research designs. This volume is recommended for researchers at all levels that need guidance with the complex task of analyzing group interactions. The unified structure throughout the book facilitates comparison across the different methods and helps with deciding on the approach to be taken.

The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and self-contained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra. The authors have taken pains to ensure that all the relevant algebraic and combinatoric tools are clearly explained in such a way as to make the book suitable for graduate students and research workers. After the pioneering work of Issai Schur, little progress was made for half a century on projective representations, despite considerable activity on the related topic of linear representations. However, in the last twenty years important new advances have spurred further research. This book develops both the early theory of Schur and then describes the key advances that the subject has seen since then. In particular the theory of Q-functions and skew Q-functions is extensively covered which is central to the development of the subject.

Since the 1970s researchers in the communicative development of infants and small children had rejected traditional models and began to explore the complex, dynamic properties of communicative exchanges. This title, originally published in 1993, proposed a new and advanced frame of reference to account for the growing body of empirical work on the emergence of communication processes at the time. Communication development in the early years of life undergoes universal processes of change and variations linked to the characteristics and qualities of different social contexts. The first section of the book presents key issues in communication research which were either revisited (intentional communication, imitation, symbolic play) or newly introduced (co-regulation, the role of emotions, shared meaning) in recent years. The second section provides an account of communication as a context-bound process partly inspired by theoretical accounts such as those of Vygotsky and Wallon. Included here are new studies showing differences in communication between infants compared with those between infants and adults, which also have important methodological implications. With perspectives from developmental psychology, psycholinguistics and educational psychology, the international contributors give a multi-disciplinary account of the expansion, variety and richness of current research on early communication. This title will be of particular interest to those involved in child development and communication research, as well as for social, educational and clinical psychologists.

Rings and Fields provides an accessible introduction to rings and fields that will give the reader an appreciation of the power of algebraic techniques to handle diverse and difficult problems. A review of the prerequisite mathematics is given at the start of the book. Dr Ellis presents his ideas clearly and practically. Rather than presenting theory in abstract terms, chapters begin by introducing a problem and then go on to develop the necessary algebraic techniques for its solution in a purposeful, lucid manner, using concrete mathematical and non-mathematical examples. Although prior knowledge of group theory is unnecessary to understand the rest of the book, for those interested there is a chapter which states the axiom for a group and proves the group theoretic results needed in Galois theory.

Traditional social hypotheses have a built-in tendency to verify themselves and so involuntarily resist attempts at stereotype change or correction. This is the insight demonstrated and discussed as the start point for an alternative approach to the problem of stereotyping and hypothesis testing. Stereotyping as Inductive Hypothesis Testing explicates the proposition that many stereotypes originate not so much in individual brains, but in the stimulus environment that interacts with and constitutes the social individual. This cognitive-ecological approach is then used to analyse the different aspects of language, sign systems and communication that can implicitly govern hypothesis testing procedures and lead to circular or reinforcing outcomes. The authors describe factors in tests such as judgment, memory and expectation and go on to suggest viable ecological learning approaches to them. An original research project based on a classroom situation is used to demonstrate and verify findings. The cognitive-ecological approach is then contextualised in relation to both the traditional approaches it can replace and the contemporary statistical sampling practices it can improve. Written with a profound understanding of the link between theoretical rigour and good empirical research practice this monograph will be invaluable to anyone with an interest in stereotyping or who wishes to enhance the reliability and self-awareness of their research methods.

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A conversation between Euclid and the ghost of Socrates. . . the paths of the moon and the sun charted by the stone-builders of ancient Europe. . .the Greek ideal of the golden mean by which they measured beauty. . . Combining historical fact with a retelling of ancient myths and legends, this lively and engaging book describes the historical, religious and geographical background that gave rise to mathematics in ancient Egypt, Babylon, China, Greece, India, and the Arab world. Each chapter contains a case study where mathematics is applied to the problems of the era, including the area of triangles and volume of the Egyptian pyramids; the Babylonian sexagesimal number system and our present measure of space and time which grew out of it; the use of the abacus and remainder theory in China; the invention of trigonometry by Arab mathematicians; and the solution of quadratic equations by completing the square developed in India. These insightful commentaries will give mathematicians and general historians a better understanding of why and how mathematics arose from the problems of everyday life, while the author's easy, accessible writing style will open fascinating chapters in the history of mathematics to a wide audience of general readers.

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.

The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.

The differences between complex algebraic groups and complex Lie groups are sometimes subtle and it can be difficult to know which aspects of algebraic group theory apply and which must be modified. The Structure of Complex Lie Groups helps clarify those distinctions. Clearly written and well organized, this unique work presents material not found in other books on Lie groups and serves as an outstanding complement to them.

Originally published in 1975, this book reviews the major personality theories influential at the time, including those of Freud, Kelly, Cattell, and Eysenck, and presents the main assessment techniques associated with them. It also discusses their application in such fields as abnormal psychology, diagnosis, psychotherapy, education and criminology. The authors find none of the theories completely satisfactory, but pinpoint important successes and suggest a promising new approach.

Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group.

On the basis of Hua Loo-Kengs results on harmonic analysis on classical groups, the author Gong Sheng develops his subject further, drawing togetherresults of his own research as well as works from other Chinese mathematicians. The book is divided into three parts studying harmonic analysis of various groups. Starting with the discussion on unitary groups in part one, the author moves on to rotation groups and unitary symplectic groups in parts 2 and 3. Thus the book provides a survey of harmonic analysis on characteristic manifold of classical domain of first type for real fields, complex fields and quaternion fields. This study will appeal to a wide range of readers from senior mathematics students up to graduate students and to teachers in this field of mathematics.

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. Features Provides a unified approach to the extension problem and the factorization problem Introduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are described

This practical guide to the psychology of effective communication is suitable for anyone for whom communication in groups is a key part of their job. No previous knowledge of psychology is assumed and the emphasis is on exercises, key point summaries, assessment and improving your skills in everyday situations like committees, project teams, seminars and focus groups.
Suitable as an introduction for psychology students, it will be invaluable for students of business, medicine, allied health, social work and probation, whether studying on a short course or attending an intensive training session as part of their continuing professional development.

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Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters.

Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5.

The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory.

Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.

Attitudes are evaluations of people, places, things, and ideas. They help us to navigate through a complex world. They provide guidance for decisions about which products to buy, how to travel to work, or where to go on vacation. They color our perceptions of others. Carefully crafted interventions can change attitudes and behavior. Yet, attitudes, beliefs, and behavior are often formed and changed in casual social exchanges. The mere perception that other people favor something, say, rich people, may be sufficient to make another person favor it. People's own actions also influence their attitudes, such that they adjust to be more supportive of the actions. People's belief systems even change to align with and support their preferences, which at its extreme is a form of denial for which people lack awareness. These two volumes provide authoritative, critical surveys of theory and research about attitudes, beliefs, persuasion, and behavior from key authors in these areas. The first volume covers theoretical notions about attitudes, the beliefs and behaviors to which they are linked, and the degree to which they are held outside of awareness. It also discusses motivational and cultural determinants of attitudes, influences of attitudes on behavior, and communication and persuasion. The second volume covers applications to measurement, behavior prediction, and interventions in the areas of cancer, HIV, substance use, diet, and exercise, as well as in politics, intergroup relations, aggression, migrations, advertising, accounting, education, and the environment.

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac--Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite--dimensional theory, Weyl groups and conjugacy theorems.

We know that positive, fulfilling and satisfying relationships are strong predictors of life satisfaction, psychological health, and physical well-being. This edited volume uses research and theory on the need to belong as a foundation to explore various types of relationships, with an emphasis on the influence of these relationships on employee attitudes, behaviors and well-being. The book considers a wide range of relationships that may affect work attitudes, specifically, supervisory, co-worker, team, customer and non-work relationships. The study of relationships spans many sub-areas within I/O Psychology and Social Psychology, including leadership, supervision, mentoring, work-related social support, work teams, bullying/interpersonal deviance and the work/non work interface.

The book consists of articles based on the XXXVIII Bialowieza Workshop on Geometric Methods in Physics, 2019. The series of Bialowieza workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Bialowieza Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Bialowieza forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter "Toeplitz Extensions in Noncommutative Topology and Mathematical Physics" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Joint Action: Essays in honour of John Shotter brings together a cross-disciplinary group of fifteen respected international scholars to explain the relevance of John Shotter's work to emerging concerns in twenty-first century social science. Shotter's work extends over forty years and continues to challenge conventional scientific thinking across a range of topics. The disciplines and practices that Shotter's work has informed are well established throughout the English-speaking world. This is the first publication to examine the importance of his influence in contemporary social sciences and it includes authoritative discussions on topics such as social constructionism, democratic practice, organisational change, the affective turn and human relations. The geographical diversity and disciplinary breadth of scholarly contributions imbues the book with international scope and reach. Joint Action presents a contemporary reflection on Shotter's work that demonstrates its influence across a range of substantive topics and practical endeavours and within disciplines including management studies and philosophy as well as psychology. As such, it will appeal to researchers and postgraduate students of social sciences and related disciplines, as well as to those who have heard of Shotter's work and want to know more about its utility and value in relation to their own research or practice.

This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. Many structure theorems on regular and commutative semigroups are introduced.;College or university bookstores may order five or more copies at a special student price which is available upon request from Marcel Dekker, Inc.

First published in 1985. Routledge is an imprint of Taylor and Francis, an informa company.

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics. The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem. Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors. The book aims to help students with the transition from concrete to abstract mathematical thinking.