nguay@science.uva.nl
Submission: 2005, Jun 23
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 Yangian called the Yangian
deformed double loop algebra) and we establish that it is an equivalence
of categories if l+2
2000 Mathematics Subject Classification: 16S30, 16S35, 16W35, 16W99
Keywords and Phrases: Cherednik algebras, Yangians, symmetric group,
modules, equivalence of categories
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