**Contemporary Mathematics**

Volume: 139;
1992;
277 pp;
Softcover

MSC: Primary 14; 17; 20; 22;
Secondary 51; 55

Print ISBN: 978-0-8218-5150-0

Product Code: CONM/139

List Price: $59.00

Individual Member Price: $47.20

**Electronic ISBN: 978-0-8218-7730-2
Product Code: CONM/139.E**

List Price: $59.00

Individual Member Price: $47.20

# Kazhdan-Lusztig Theory and Related Topics

Share this page *Edited by *
*Vinay Vithal Deodhar*

This volume attests to the far-reaching influence of Kazhdan-Lusztig theory on several areas of mathematics by presenting a diverse set of research articles centered on this theme. Although there has been a great deal of work in Kazhdan-Lusztig theory, this book is perhaps the first to discuss all aspects of the theory and gives readers a flavor of the range of topics involved. The articles present recent work in Kazhdan-Lusztig theory, including representations of Kac-Moody Lie algebras, geometry of Schubert varieties, intersection cohomology of stratified spaces, and some new topics such as quantum groups.

#### Readership

Research mathematicians working in Lie theory, algebraic geometry, noncommutative algebra, topology, microlocal analysis, and quantum groups.

# Table of Contents

## Kazhdan-Lusztig Theory and Related Topics

- Contents v6 free
- Preface vii8 free
- A Counterexample to the Gabber-Joseph Conjecture 110 free
- Equivariant Intersection Cohomology 514
- Some Remarks on Regular Weyl Group Orbits and the Cohomology of Schubert Varieties 3342
- Infinitesimal Kazhdan-Lusztig Theories 4352
- Harish-Chandra Modules for Semisimple Lie Groups with One Conjugacy Class of Cartan Subgroups 7584
- A Simple Proof of a Necessary and Sufficient Condition for the Existence of Nontrivial Global Sections of a Line Bundle on a Schubert Variety 113122
- Kazhdan-Lusztig Bases and Isomorphism Theorems for q-Schur Algebras 121130
- Heeke Algebras and Shellings of Bruhat Intervals II; Twisted Bruhat Orders 141150
- On Bases of Irreducible Representations of Quantum G Ln 167176
- Morita Equivalence of Primitive Factors of U(sl(2)) 175184
- Degeneracy of Schubert Varieties 181190
- Singular Blocks of the Category θ , II 237246
- A Geometric Realization of Minimal t-Type of Harish-Chandra Modules for Complex S. S. Groups 249258
- Towards a Generalized Bruhat Decomposition 265274