Infinitesimal Hecke algebras of soN
Abstract
In this article we classify all infinitesimal Hecke algebras of soN. We establish isomorphism of their universal versions and the W-algebras of soN+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 gln and sp2n.
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