Representation Theory and Complex Geometry

• Main Authors: Chriss, Neil (Author), Ginzburg, Victor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Edition: 1st.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Algebraic geometry.; Topological groups.; Lie groups.; Manifolds (Mathematics).; Complex manifolds.; Physics.; Topological Groups, Lie Groups.; Algebraic Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Theoretical, Mathematical and Computational Physics.

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 q...

Table of Contents:

• 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.