Discrete series characters for affine Hecke algebras and their formal degrees
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| Publication date | 2010 |
| Journal | Acta mathematica |
| Volume | Issue number | 205 | 1 |
| Pages (from-to) | 105-187 |
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| Abstract | We introduce the generic central character of an irreducible discrete series representation of an affine Hecke algebra. Using this invariant we give a new classification of the irreducible discrete series characters for all abstract affine Hecke algebras (except for the types ${E_{n}^{(1)}}$ , n=6, 7, 8) with arbitrary positive parameters and we prove an explicit product formula for their formal degrees (in all cases). |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s11511-010-0052-9 |
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