On infinitesimal Cherednik algebras of gl_2
Abstract
Description
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.
10 pages, all comments are welcome
10 pages, all comments are welcome