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AuthorShi, Jian-Yi. author
TitleThe Kazhdan-Lusztig Cells in Certain Affine Weyl Groups [electronic resource] / by Jian-Yi Shi
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1986
Connect tohttp://dx.doi.org/10.1007/BFb0074968
Descript XII, 312 p. online resource

CONTENT

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 ร{131}n?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 ร{131}n 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


Mathematics Group theory Mathematics Group Theory and Generalizations



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