English

Twisted Yangians and finite W-algebras

Quantum Algebra 2008-09-09 v2 Rings and Algebras Representation Theory

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.

Keywords

Cite

@article{arxiv.0710.2918,
  title  = {Twisted Yangians and finite W-algebras},
  author = {Jonathan Brown},
  journal= {arXiv preprint arXiv:0710.2918},
  year   = {2008}
}

Comments

Final version to appear in Transformation Groups