Representations of affine Hecke algebras [electronic resource] / Nanhua Xi.
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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Full Text (via Springer) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
©1994.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1587. |
| Subjects: |
Table of Contents:
- 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 x C* 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 G2, B2, A2
- Simple modules attached to c1.