Cherednik algebras and Yangians
| Authors |
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|---|---|
| Publication date | 2005 |
| Journal | International Mathematics Research Notices |
| Volume | Issue number | 57 (2005) |
| Pages (from-to) | 3551-3593 |
| Number of pages | 43 |
| Organisations |
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| Abstract | We construct a functor from the category of modules over the trigonometric (resp., rational) Cherednik algebra of type gl(l) to the category of integrable modules of level l over a Yangian for the loop algebra sl(n) (resp., over a subalgebra of this loop Yangian) and we establish that it is an equivalence of categories if l+2 < n. Finally, we treat the case of the rational Cherednik algebras of type A(l-1). |
| Document type | Article |
| Published at | http://www.math.ualberta.ca/~nguay/NGuayCheralgYang.pdf |
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