arXiv · 0810.2001
On infinitesimal Cherednik algebras of gl_2
Abstract
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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Akaki Tikaradze. 2008-10-11. On infinitesimal Cherednik algebras of gl_2. https://arxiv.org/abs/0810.2001
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