MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

For affine Hecke algebra, generically the classification of irreducible modules is given by Deligne-Langlands conjecture. It seems that the corresponding classification problem for degenerate affine Hecke algebra is easier. I don't know how, but it is my feeling. Let q be the parameter, if q is a root of unity, as I understand Deligne-Langlands conjecture doesn't hold in general. In this case is there still any classification theorem? For degenerate affine Hecke algebra, where can I find the reference for classification? In type A, if i understand correctly, it is more or less clear since we have categorification of half of enveloping algebra of certain Kac moody algebra.

share|cite|improve this question
There are two recent papers by Varagnolo and Vasserot dealing with the affine Hecke algebras of type B and D (arXiv:0911.5209 and 0912.4245, respectively). These are some sort of categorification result (I haven't had a chance to read them yet). – David Hill May 16 '11 at 23:20

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.