On infinitesimal Cherednik algebras of gl_2

Details On infinitesimal Cherednik algebras of gl_2 On infinitesimal Cherednik algebras of gl_2

2008-10-11

arxiv.org/abs/0810.2001v1

Mathematics

Representation Theory

10 pages, all comments are welcome

Scientific paper

We prove that the center of an infinitesimal Cherednik algebra of $\mf{gl}_2$
is the polynomial algebra of two variables over the field of characteristic 0.
In positive characteristic we show that any infinitesimal Cherednik algebra is
a finitely generated module over its center.

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