Lie Groups Lie Algebras And Their Representations

Author: V.S. Varadarajan
Editor: Springer Science & Business Media
ISBN: 1461211263
File Size: 76,85 MB
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This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task.
Lie Groups, Lie Algebras, and Their Representations
Language: en
Pages: 434
Authors: V.S. Varadarajan
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory
Lie Groups, Lie Algebras, and Representations
Language: en
Pages: 449
Authors: Brian C. Hall
Categories: Mathematics
Type: BOOK - Published: 2015-05-22 - Publisher: Springer

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most
Lie Groups, Lie Algebras, and Some of Their Applications
Language: en
Pages: 608
Authors: Robert Gilmore
Categories: Mathematics
Type: BOOK - Published: 2012-05-23 - Publisher: Courier Corporation

This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Lie Groups, Lie Algebras, and Their Representation
Language: en
Pages:
Authors: V.S. Varadarajan
Categories: Mathematics
Type: BOOK - Published: 2002-05-01 - Publisher: Springer

Books about Lie Groups, Lie Algebras, and Their Representation
Lie Groups, Lie Algebras, and Their Representations
Language: en
Pages: 452
Authors: V. S. Varadarajan
Categories: Mathematics
Type: BOOK - Published: 2014-01-15 - Publisher:

Books about Lie Groups, Lie Algebras, and Their Representations