Infinitesimal Cherednik algebras as W-algebras

Published 29 May 2013 in math.RT | (1305.6873v2)

Abstract: In this article we establish an isomorphism between universal infinitesimal Cherednik algebras and W-algebras for Lie algebras of the same type and 1-block nilpotent elements. As a consequence we obtain some fundamental results about infinitesimal Cherednik algebras.

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