TY - BOOK AU - Shi,Jian-Yi ED - SpringerLink (Online service) TI - The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups T2 - Lecture Notes in Mathematics, SN - 9783540397809 AV - QA174-183 U1 - 512.2 23 PY - 1986/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Group theory KW - Group Theory and Generalizations N1 - 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 UR - http://dx.doi.org/10.1007/BFb0074968 ER -