Infinitesimal Hecke algebras of so_N
arXiv:1306.1514 · doi:10.1016/j.jpaa.2014.07.022
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}.
14 pages; v2: minor corrections, some details added