C o n t e n t s
Preface ix
Part 1. Algebraic groups and their generalizations: Classical methods
§1. A previously unpublished paper of C. Chevalley
Sur les decompositions cellulaires des espaces G/B
C. CHEVALLEY 1
§2. Perverse sheaves, Kazhdan Lusztig program, and related topics
Introduction to middle intersection cohomology and perverse sheaves
ARMAND BOREL 25
The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and
rational smoothness of Schubert varieties
JAMES B. CARRELL 53
Simulating perverse sheaves in modular representation theory
EDWARD CLINE, BRIAN PARSHALL, AND LEONARD SCOTT 63
A brief survey of Kazhdan-Lusztig theory and related topics
VINAY DEODHAR 105
§3. Finite Chevalley groups and related matters
Green theory for Hecke algebras and Harish-Chandra philosophy
RICHARD DIPPER 12 5
Liftable deformations and Hecke algebras
M. SCHAPS 155
A Hecke algebra of the symmetric group
E L I A . SIEGEL 175
Character sheaves: Applications to finite groups
BHAMA SRINIVASAN 183
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