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arXiv · 1306.1514

Infinitesimal Hecke algebras of so_N

Alexander Tsymbaliuk
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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}.

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Alexander Tsymbaliuk. 2013-06-06. Infinitesimal Hecke algebras of so_N. https://doi.org/10.1016/j.jpaa.2014.07.022

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