Representations of Affine Hecke Algebras
Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q...
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Springer
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Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1587 |
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| Edition sous un autre format: | • Representations of affine Hecke algebras, Nanhua Xi, 1994, Berlin, Springer, 1 vol. (VIII-137 pages), Lecture notes in mathematics, 3-540-58389-0 • Representations of Affine Hecke Algebras, Texte imprimé, 9783662186411 |
Obsah:
- Hecke algebras
- Affine Weyl groups and affine Hecke algebras
- A generalized two-sided cell of an affine Weyl group
- qs-analogue of weight multiplicity
- Kazhdan-Lusztig classification on simple modules of affine Hecke algebras
- An equivalence relation in T . ?*
- The lowest two-sided cell
- Principal series representations and induced modules
- Isogenous affine Hecke algebras
- Quotient algebras
- The based rings of cells in affine Weyl groups of type
- Simple modules attached to c 1.