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Representations of Rational Cherednik Algebras in Positive Characteristic
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| Journal | Journal of Pure and Applied Algebra |
|---|---|
| Date | E-pub ahead of print - 3 Jul 2011 |
| Date | Published (current) - Apr 2013 |
| Issue number | 4 |
| Volume | 217 |
| Number of pages | 25 |
| Pages (from-to) | 716-740 |
| Early online date | 3/07/11 |
| Original language | English |
Abstract
We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Cherednik algebras associated to the general and special linear group over a finite field of the same characteristic as the underlying algebraically closed field. For such algebras we calculate the characters of irreducible representations with trivial lowest weight.
- Representation Theory;
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