9780387909691-0387909699-Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) (Graduate Texts in Mathematics (102))

Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) (Graduate Texts in Mathematics (102))

ISBN-13: 9780387909691
ISBN-10: 0387909699
Edition: 1st
Author: Varadarajan, V.S.
Publication date: 1984
Publisher: Springer
Format: Hardcover 448 pages
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Book details

ISBN-13: 9780387909691
ISBN-10: 0387909699
Edition: 1st
Author: Varadarajan, V.S.
Publication date: 1984
Publisher: Springer
Format: Hardcover 448 pages

Summary

Acknowledged authors Varadarajan, V.S. wrote Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) (Graduate Texts in Mathematics (102)) comprising 448 pages back in 1984. Textbook and eTextbook are published under ISBN 0387909699 and 9780387909691. Since then Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics, Vol. 102) (Graduate Texts in Mathematics (102)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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