Representation Theory and Complex Geometry

Author:   Neil Chriss ,  victor ginzburg
Publisher:   Birkhauser Boston Inc
Edition:   1st ed. 1997. 2nd printing 2009
ISBN:  

9780817649371


Pages:   495
Publication Date:   01 December 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Representation Theory and Complex Geometry


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Overview

"""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)"

Full Product Details

Author:   Neil Chriss ,  victor ginzburg
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1st ed. 1997. 2nd printing 2009
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   1.560kg
ISBN:  

9780817649371


ISBN 10:   0817649379
Pages:   495
Publication Date:   01 December 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface.- Chapter 0. Introduction.- Chapter 1. Symplectic Geometry.- Chapter 2. Mosaic.- Chapter 3. Complex Semisimple Groups.- Chapter 4. Springer Theory.- Chapter 5. Equivariant K-Theory.- Chapter 6. Flag Varieties, K-Theory, and Harmonic Polynomials.- Chapter 7. Hecke Algebras and K-Theory.- Chapter 8. Representations of Convolution Algebras.- Bibliography.

Reviews

The authors have tried to help readers by adopting an informal and easily accessible style...to convey a sound intuitive grasp of the basic concepts and proofs... 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. <p>---T.A. Springer (Mededdingen van het wiskundig genootschap) <p> Represents an important and very interesting addition to the literature. <p>--- Mathematical Reviews <p> 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 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. <p>--- Bulletin of the AMS


The authors have tried to help readers by adopting an informal and easily accessible style...to convey a sound intuitive grasp of the basic concepts and proofs... 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. ---T.A. Springer (Mededelingen van het wiskundig genootschap) Represents an important and very interesting addition to the literature. --- Mathematical Reviews 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 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 AMS


From the reviews: The authors have tried to help readers by adopting an informal and easily accessible style...to convey a sound intuitive grasp of the basic concepts and proofs... 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. ---T.A. Springer (Mededelingen van het wiskundig genootschap) Represents an important and very interesting addition to the literature. --- Mathematical Reviews 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 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 AMS The material covered in this book is at the crossroads of algebraic geometry, symplectic geometry and 'pure' representation theory. ! This volume provides a self-contained overview of some of the recent advances in representation theory from a geometric standpoint. ! 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. (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1185, 2010)


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