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The Kazhdan-Lusztig cells in certain affine Weyl groups

Author: Jian-Yi Shi
Publisher: Berlin ; New York : Springer-Verlag, ©1986.
Series: Lecture notes in mathematics (Springer-Verlag), 1179.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Shi, Jian-Yi, 1948-
Kazhdan-Lusztig cells in certain affine Weyl groups.
Berlin ; New York : Springer-Verlag, ©1986
(OCoLC)625772078
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jian-Yi Shi
ISBN: 0387164391 9780387164397 3540164391 9783540164395
OCLC Number: 13455813
Notes: Includes indexes.
Description: x, 307 pages : illustrations ; 25 cm.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1179.
Responsibility: Shi Jian-Yi.

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