The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups / by Jian-Yi Shi.

Format:

Book

Author/Creator:

Shi, Jian-Yi, 1948- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1179.

Lecture Notes in Mathematics, 0075-8434 ; 1179

Language:

English

Subjects (All):

Group theory.

Group Theory and Generalizations.

Local Subjects:

Group Theory and Generalizations.

Physical Description:

1 online resource (XII, 312 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1986.

System Details:

text file PDF

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.

Other Format:

Printed edition:

ISBN:

9783540397809

Access Restriction:

Restricted for use by site license.