English

Infinitesimal Cherednik algebras as W-algebras

Representation Theory 2015-01-20 v2

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.

Keywords

Cite

@article{arxiv.1305.6873,
  title  = {Infinitesimal Cherednik algebras as W-algebras},
  author = {Ivan Losev and Alexander Tsymbaliuk},
  journal= {arXiv preprint arXiv:1305.6873},
  year   = {2015}
}

Comments

24 pages; v2 minor corrections