On Kostant's theorem for the Lie superalgebra Q(n)
Representation Theory
2014-03-18 v1
Abstract
In this paper we study finite W-algebras for basic classical superalgebras and Q(n) associated to the regular even nilpotent coadjoint orbits. We prove that this algebra satisfies the Amitsur-Levitzki identity and therefore all its irreducible representations are finite-dimensional. In the case of Q(n) we give an explicit description of the W-algebra in terms of generators and relation and realize it as a quotient of the super-Yangian of Q(1).
Keywords
Cite
@article{arxiv.1403.3866,
title = {On Kostant's theorem for the Lie superalgebra Q(n)},
author = {Elena Poletaeva and Vera Serganova},
journal= {arXiv preprint arXiv:1403.3866},
year = {2014}
}
Comments
37 pages