INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS

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.

Bibliographic Details
Main Authors: Losev, I., Tsymbaliuk, Oleksandr
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2017
Online Access:http://hdl.handle.net/1721.1/106910