The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups / Edition 1

The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups / Edition 1

by Jian-Yi Shi
     
 

ISBN-10: 3540164391

ISBN-13: 9783540164395

Pub. Date: 04/01/1986

Publisher: Springer Berlin Heidelberg

Product Details

ISBN-13:
9783540164395
Publisher:
Springer Berlin Heidelberg
Publication date:
04/01/1986
Series:
Lecture Notes in Mathematics Series, #1179
Edition description:
1986
Pages:
312
Product dimensions:
9.21(w) x 6.14(h) x 0.67(d)

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.

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