On infinitesimal Cherednik algebras of gl_2
Akaki Tikaradze

TL;DR
This paper investigates the structure of infinitesimal Cherednik algebras of gl_2, establishing their centers as polynomial algebras in characteristic zero and their finite generation over the center in positive characteristic.
Contribution
It proves the polynomial nature of the center in characteristic zero and finite generation over the center in positive characteristic for these algebras.
Findings
Center of algebra is polynomial in characteristic zero.
Algebra is finitely generated over its center in positive characteristic.
Abstract
We prove that the center of an infinitesimal Cherednik algebra of 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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology
