The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups
Jian-Yi Shi
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The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups

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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 ¿?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 ¿ of the affine We...