Del 1179 - Lecture Notes in Mathematics

Kazhdan-Lusztig Cells in Certain Affine Weyl Groups

Häftad, Engelska, 1986

549 kr

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Produktinformation

Utgivningsdatum1986-03-01
Mått155 x 235 x 18 mm
Vikt487 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor312
Upplaga1986
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540164395

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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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