The Kazhdan-Lusztig cells in certain affine Weyl groups [electronic resource] / Shi Jian-Yi.

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Shi, Jian-Yi, 1948-
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, ©1986.
Series:Lecture notes in mathematics (Springer-Verlag) ; 1179.
Subjects:
Table of Contents:
  • Coxeter groups, Hecke algebras and their representations
  • Applications of Kazhdan-Lusztig theory
  • Geometric interpretations of the Kazhdan-Lusztig polynomials
  • The algebraic descriptions of the affine Weyl group An of type Ãn?1, n>2
  • The partition of n associated with an element of the affine Weyl group An
  • A geometrical description of the affine Weyl group An
  • Admissible sign types of rank n
  • Iterated star operations and interchanging operations on blocks
  • The subset??1 of the affine Weyl group An
  • The set N? of normalized elements of??1
  • The orbit space Ãn of the affine Weyl group An
  • The sequence?(w, k) beginning with an element of N?
  • Raising operations on layers
  • The left and right cells in??1
  • ??1 is an rl-equivalence class of An
  • Left cells are characterized by the generalized right?-invariant
  • The two-sided cells of the affine Weyl group An
  • Some properties of cells and other equivalence classes of An
  • Some special kinds of sign types
  • The inserting algorithm on the set C
  • The restriction of the map on p n.