• Symplectic Geometry.- Mosaic.- Complex Semisimple Groups.- Springer Theory for (sl).- Equivariant K-Theory.- Flag Varieties, K-Theory, and Harmonic Polynomials.- Hecke Algebras and K#x2013;Theory.- Representations of Convolution Algebras.

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)

• Symplectic Geometry.- Mosaic.- Complex Semisimple Groups.- Springer Theory for (sl).- Equivariant K-Theory.- Flag Varieties, K-Theory, and Harmonic Polynomials.- Hecke Algebras and K#x2013;Theory.- Representations of Convolution Algebras.

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)

• Symplectic Geometry.- Mosaic.- Complex Semisimple Groups.- Springer Theory for (sl).- Equivariant K-Theory.- Flag Varieties, K-Theory, and Harmonic Polynomials.- Hecke Algebras and K#x2013;Theory.- Representations of Convolution Algebras.

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)