Representation Theory of Semisimple Groups: An Overview Based on Examples

by Anthony W. Knapp

Overview

In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes.

Product Details

ISBN-13:	9780691090894
Publisher:	Princeton University Press
Publication date:	10/07/2001
Series:	Princeton Landmarks in Mathematics and Physics , #36
Edition description:	With a New preface by the author
Pages:	800
Product dimensions:	6.00(w) x 9.25(h) x (d)

About the Author

Anthony W. Knapp is Emeritus Professor of Mathematics, State University of New York at Stony Brook. The author of numerous books, he is the former editor of the Notices of the American Mathematical Society.

Editorial Reviews

Winner of the 1997 Leroy P. Steele Prize, American Mathematics Society

"Anthony Knapp has written a marvelous book. . . . Written with accuracy, style, and a genuine desire to communicate the materials. . . . This is one of the finest books I have ever had the pleasure to read, and I recommend it in the strongest possible terms to anyone wishing to appreciate the intricate beauty and technical difficulty of representation theory of semisimple Lie groups."—-R. J. Plymen, Bulletin of the London Mathematical Society

"Each [theme] is developed carefully and thoroughly, with beautifully worked examples and proofs that reflect long experience in teaching and research. . . . This result is delightful: a readable text that loses almost none of its value as a reference work."—-David A. Vogan Jr., Bulletin of the American Mathematical Society

From the Publisher

Each [theme] is developed carefully and thoroughly, with beautifully worked examples and proofs that reflect long experience in teaching and research. . . . This result is delightful: a readable text that loses almost none of its value as a reference work.

Bulletin of the American Mathematical Society - David A. Vogan Jr.

Anthony Knapp has written a marvelous book. . . . Written with accuracy, style, and a genuine desire to communicate the materials. . . . This is one of the finest books I have ever had the pleasure to read, and I recommend it in the strongest possible terms to anyone wishing to appreciate the intricate beauty and technical difficulty of representation theory of semisimple Lie groups.

Bulletin of the London Mathematical Society - R. J. Plymen

Anthony Knapp has written a marvelous book. . . . Written with accuracy, style, and a genuine desire to communicate the materials. . . . This is one of the finest books I have ever had the pleasure to read, and I recommend it in the strongest possible terms to anyone wishing to appreciate the intricate beauty and technical difficulty of representation theory of semisimple Lie groups.

Bulletin of the London Mathematical Society - R.J. Plymen

Each [theme] is developed carefully and thoroughly, with beautifully worked examples and proofs that reflect long experience in teaching and research. . . . This result is delightful: a readable text that loses almost none of its value as a reference work.
— David A. Vogan Jr.

Bulletin of the American Mathematical Society

Anthony Knapp has written a marvelous book. . . . Written with accuracy, style, and a genuine desire to communicate the materials. . . . This is one of the finest books I have ever had the pleasure to read, and I recommend it in the strongest possible terms to anyone wishing to appreciate the intricate beauty and technical difficulty of representation theory of semisimple Lie groups.
— R. J. Plymen

Bulletin of the London Mathematical Society