Overview

"This is an English edition of Dixmier's book, which is the first systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras, turned out to be so well written that even today it remains one of the main textbooks and reference books on the subject. In 1992, Dixmier was awarded the Leroy P. Steele prize for expository writing in mathematics. The Committee's citation described this as one of Dixmier's ""extraordinary books"". Written with unique precision and elegance, the book provides the reader with insight and understanding of this very important subject. It can be an excellent textbook for a graduate course, as well as a very useful source of references in the theory of universal enveloping algebras, the area of mathematics that remains as important today as it was 20 years ago. For the 1996 edition the author updated the status of open problems and added some relevant references."

Full Product Details

Author:   Jacques Dixmier
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New edition
Volume:   No.11
Dimensions:   Width: 18.30cm , Height: 2.60cm , Length: 23.00cm
Weight:   0.871kg
ISBN:  

9780821805602

ISBN 10:   0821805606
Pages:   379
Publication Date:   30 June 1996
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Lie algebras Enveloping algebras Two-sided ideals in enveloping algebras Centres Induced representations Primitive ideals (the solvable case) Verma modules The enveloping algebra of a semi-simple Lie algebra Harish-Chandra modules Primitive ideals (the general case) Appendix Problems Bibliography Added in 1996 Index.

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