Groups and group theory

Groups are important because they measure symmetry.

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincare, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications.

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.

Macrostructures are higher-level semantic or conceptual structures that organize the 'local' microstructures of discourse, interaction, and their cognitive processing.

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space.

It is motivation that drives all our daily endeavors, and it is motivation, or the lack of it, that accounts for most of our successes and failures.

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research.

In the last ?

This book explores the role of listening in community engagement and peacebuilding efforts, bridging academic research in communication and practical applications for individual and social change.

Behavior Modification is a comprehensive, practical presentation of the principles of behavior modification and guidelines for their application.

The political and legislative changes which took place in South Africa during the 1990s, with the dissolution of apartheid, created a unique set of social conditions.

The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc.

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "e;Lie Theory and Its Applications in Physics"e; held near Varna (Bulgaria) in June 2019.

The Maple ODE Lab Book is intended to provide a thorough introduc- tion to using symbolic computation software to model, solve, explore, and visualize ordinary differential equations.

Based on an extensive national research project with global relevance, this pioneering volume draws on unique data on bullying in youth sports training collected from both athletes and coaches using a variety of methodological approaches.

This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93.

The study of group communication has never been more critical, as recent national and international events point to the fragility of group life.

Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations.

A tribute to Robert S.

How do leaders influence the people around them?

This handbook brings together the latest thinking on the scientific study of closeness and intimacy from some of the most active and widely recognized relationship scholars in social and clinical psychology, communication studies, and related disciplines.

This book is a unique exploration of the idea of the "e;second person"e; in human interaction, the idea that face-to-face interactions involve a distinctive form of reciprocal mental state attributions that mediates their dynamical unfolding.

This path-breaking book is the first collection to provide a scientific global overview on the social neuroscience of intergroup relations, and the neural mechanisms that drive processes such as prejudice, racism and dehumanisation.

This book examines the phenomenon of silence in relation to human behaviour from multiple perspectives, drawing on psychological and cultural-philosophical ideas to create new, surprising connections between silence, quiet and rest.

In the belief that power is something that is negotiated by participants in the instructional process and with the goal of understanding how communication and power interact, this book looks at power and instruction in many different ways.

Relating Difficulty offers insight into the nature of difficulty in relationships across a broad range of human experience.

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.

This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds.

In the World Library of Psychologists series, international experts themselves present career-long collections of what they judge to be their finest pieces - extracts from books, key articles, salient research findings, and their major practical theoretical contributions.

This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28-31 March 2022.

Eugene Wigner is one of the few giants of 20th-century physics.

This volume consists of nine lectures on selected topics of Lie group theory.

This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices.

Social interaction in recent years has become the focus of systematic scientific research in a wide variety of academic disciplines.

About the first edition: The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules.

This book responds to the growing need for understanding how we can foster wellness, raise engagement, and strengthen connections in professional contexts as human interactions become increasingly remote.

This insightful book offers contemporary psychologists and other social theorists an understanding of the comprehensive system of thought developed by the German scholar William Stern (1871-1938) known as critical personalism.

Why do children get involved with bullying?

This book investigates the situated (re)production of categories, from the most mundane and unremarkable to those most strongly associated with power and privilege.

Social groups form an important part of our daily lives.

This book engages with contemporary, and often polarizing, debates surrounding the risks of adolescent use of digital media and internet technologies.

This is the only book on the subject of group theory and Einstein's theory of gravitation.

Human beings are an intrinsically gregarious species - our personal relationships are of immense interest to us and are a key factor in achieving happiness and well being.

In diesem Band stehen Probleme im Mittelpunkt, die sich zunächst einfach anhören, dann aber eine anspruchsvollere mathematische Bearbeitung verlangen.

These books grew out of the perception that a number of important conceptual and theoretical advances in research on small group behavior had developed in recent years, but were scattered in rather fragmentary fashion across a diverse literature.