paper

Twisted Yangians and finite W-algebras

arXiv:0710.2918

Abstract

We construct an explicit set of generators for the finite W-algebras associated to nilpotent matrices in the symplectic or orthogonal Lie algebras whose Jordan blocks are all of the same size. We use these generators to show that such finite W-algebras are quotients of twisted Yangians.

Final version to appear in Transformation Groups