English

Infinitesimal Hecke algebras of so_N

Representation Theory 2019-02-12 v2

Abstract

In this article we classify all infinitesimal Hecke algebras of so_N. We establish isomorphism of their universal versions and the W-algebras of so_{N+2m+1} with a 1-block nilpotent element of the Jordan type (1,...,1,2m+1). This should be considered as a continuation of the recent joint paper with I. Losev, where the analogous results were obtained for the cases of gl_n and sp_{2n}.

Keywords

Cite

@article{arxiv.1306.1514,
  title  = {Infinitesimal Hecke algebras of so_N},
  author = {Alexander Tsymbaliuk},
  journal= {arXiv preprint arXiv:1306.1514},
  year   = {2019}
}

Comments

14 pages; v2: minor corrections, some details added