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 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.
| Autorius: | Jian-Yi Shi |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1986 |
| Knygos puslapių skaičius: | 320 |
| ISBN-10: | 3540164391 |
| ISBN-13: | 9783540164395 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Groups and group theory |
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