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Author:   Jian-Yi Shi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1986 ed.
Volume:   1179
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.000kg
ISBN:  

9783540164395

ISBN 10:   3540164391
Pages:   312
Publication Date:   01 March 1986
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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 An?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 An 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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