Center of infinitesimal Cherednik algebras of gl_n

Details Center of infinitesimal Cherednik algebras of gl_n Center of infinitesimal Cherednik algebras of gl_n

2009-01-16

arxiv.org/abs/0901.2591v4

Mathematics

Representation Theory

9 pages, to appear in Representation Theory

Scientific paper

We show that the center of infinitesimal Cherednik algebras of gl_n is
isomorphic to the polynomial algebra in n variables. Based on this we derive
consequences for representation theory of these algebras.

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