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

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Product Details

  • ISBN-13: 9783540164395
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/1/1986
  • Series: Lecture Notes in Mathematics Series , #1179
  • Edition description: 1986
  • Edition number: 1
  • 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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