Representation Theory and Complex Geometry

Chriss, Neil; Ginzburg, Victor

ISBN 10: 0817649379 / ISBN 13: 9780817649371

Published by Birkhauser Boston Inc, 2009

About this Item

This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. Series: Modern Birkhauser Classics. Num Pages: 495 pages, 5 black & white illustrations, biography. BIC Classification: PBG; PBMS; PBMW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 25. Weight in Grams: 1560. . 2009. 1st ed. 1997. 2nd printing 2009. Paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780817649371

Bibliographic Details

• Title: Representation Theory and Complex Geometry
• Publisher: Birkhauser Boston Inc
• Publication Date: 2009
• Language: English
• ISBN 10: 0817649379
• ISBN 13: 9780817649371
• Binding: Soft cover
• Condition: New

About this title

Synopsis

"The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups...An attractive feature is the attempt to convey some informal ‘wisdom’ rather than only the precise definitions. As a number of results [are] due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory...it has already proved successful in introducing a new generation to the subject." (Bulletin of the AMS)

From the Back Cover

This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician.

The book is largely self-contained. . . . There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As anumber of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it has already proved successful in introducing a new generation to the subject.

--- Bulletin of the American Mathematical Society

The authors have tried to help readers by adopting an informal and easily accessible style. . . . The book will provide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of one of the chapters of the book.

--- Mededelingen van het Wiskundig Genootschap

Represents an important and very interesting addition to the literature.

--- Mathematical Reviews