Group Theory 2

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological gro……続きを見る

The Handbook of Rational and Social Choice provides an overview of issues arising in work on the foundations of decision theory and social choice over the past three decades. Drawing on work by econ……続きを見る

This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed des……続きを見る

One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and spe……続きを見る

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 wo……続きを見る

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie……続きを見る

In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely impo……続きを見る

Originally published in 1981, this volume brings together contributions by several of the authors whose research had contributed significantly to the recent advances in our understanding of the role……続きを見る

Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. This book offer……続きを見る

The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an intro……続きを見る

Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This……続きを見る

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 am……続きを見る

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious……続きを見る

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is b……続きを見る

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative t……続きを見る

This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structure……続きを見る

Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding i……続きを見る

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is……続きを見る

The concept of formal Lie group was derived in a natural way from classical Lie theory by S. Bochner in 1946, for fields of characteristic 0. Its study over fields of characteristic p > 0 began in t……続きを見る

This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 20……続きを見る

Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can……続きを見る

Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social net……続きを見る

Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatoric……続きを見る

With contributions from the leading experts on relationships, this book covers important issues, such as love as self-expansion, equity in maintaining close relationships, commitment, social support……続きを見る

This collection of essays represents a follow-up to the editors' 1994 publication, The Dark Side of Interpersonal Communication. In the preface to that collection of essays, they argued that "To ful……続きを見る

This book describes many different and useful ways of understanding personal relationships from a dialectical perspective. It is written for scholars in higher education, both faculty and students, ……続きを見る

Cognition, Communication, and Romantic Relationships focuses on the role of memory, communication, and social cognition in the development of romantic relationships. The authors review developmental……続きを見る

From Language to Communication focuses on the structure of texts and on the social and psychological aspects of language. Utilizing current thinking and research, this volume provides an overview of……続きを見る

This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structureーthe Schrödinger-Virasoro algebra. Just as Poincaré invariance or conform……続きを見る

Communication and Social Cognition represents the explosion of work in the field of social cognition over the past 25 years. Expanding the contribution made by Social Cognition and Communication, pu……続きを見る