Theory of Group Representations

A. I Stern

ISBN 10: 1461381444 / ISBN 13: 9781461381440

Published by Springer New York, Springer Nov 2011, 2011

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Author's Preface to the Russian Edition This book is written for advanced students, for predoctoral graduate stu dents, and for professional scientists-mathematicians, physicists, and chemists-who desire to study the foundations of the theory of finite dimensional representations of groups. We suppose that the reader is familiar with linear algebra, with elementary mathematical analysis, and with the theory of analytic functions. All else that is needed for reading this book is set down in the book where it is needed or is provided for by references to standard texts. The first two chapters are devoted to the algebraic aspects of the theory of representations and to representations of finite groups. Later chapters take up the principal facts about representations of topological groups, as well as the theory of Lie groups and Lie algebras and their representations. We have arranged our material to help the reader to master first the easier parts of the theory and later the more difficult. In the author's opinion, however, it is algebra that lies at the heart of the whole theory. To keep the size of the book within reasonable bounds, we have limited ourselves to finite-dimensional representations. The author intends to devote another volume to a more general theory, which includes infinite dimensional representations. 584 pp. Englisch.

Seller Inventory # 9781461381440

Bibliographic Details

• Title: Theory of Group Representations
• Publisher: Springer New York, Springer Nov 2011
• Publication Date: 2011
• Language: English
• ISBN 10: 1461381444
• ISBN 13: 9781461381440
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 32D millimeters 229 millimeters width by 152 millimeters height by 32 millimeters depth
• Weight: 834 grams

About this title

Synopsis

Author's Preface to the Russian Edition This book is written for advanced students, for predoctoral graduate stu­ dents, and for professional scientists-mathematicians, physicists, and chemists-who desire to study the foundations of the theory of finite­ dimensional representations of groups. We suppose that the reader is familiar with linear algebra, with elementary mathematical analysis, and with the theory of analytic functions. All else that is needed for reading this book is set down in the book where it is needed or is provided for by references to standard texts. The first two chapters are devoted to the algebraic aspects of the theory of representations and to representations of finite groups. Later chapters take up the principal facts about representations of topological groups, as well as the theory of Lie groups and Lie algebras and their representations. We have arranged our material to help the reader to master first the easier parts of the theory and later the more difficult. In the author's opinion, however, it is algebra that lies at the heart of the whole theory. To keep the size of the book within reasonable bounds, we have limited ourselves to finite-dimensional representations. The author intends to devote another volume to a more general theory, which includes infinite­ dimensional representations.

Language Notes

Text: English, Russian (translation)