Center of infinitesimal Cherednik algebras of gl_n

Abstract

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.

arXiv comment9 pages, to appear in Representation Theory

References in corpus (3)

• Symplectic reflection algebras in positive characteristic
• Les invariants polynômes de la représentation coadjointe de groupes inhomogènes
• On infinitesimal Cherednik algebras of gl_2