Infinitesimal Hecke algebras of soNsoN

In this article we classify all infinitesimal Hecke algebras of g=soNg=soN. We establish isomorphism of their universal versions and the W  -algebras of soN+2m+1soN+2m+1 with a 1-block nilpotent element of the Jordan type (1,…,1,2m+1)(1,…,1,2m+1). This should be considered as a continuation of [9], where the analogous results were obtained for the cases of g=gln,sp2ng=gln,sp2n.