Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n)
Representation Theory
2009-11-10 v2
Abstract
We prove an Amitsur-Levitzki type theorem for the Lie superalgebras osp(1,2n) inspired by Kostant's cohomological interpretation of the classical theorem. We show that the Lie superalgebras gl(p,q) cannot satisfy an Amitsur-Levitzki type super identity if p, q are non zero and conjecture that neither can any other classical simple Lie superalgebra with the exception of osp(1,2n).
Keywords
Cite
@article{arxiv.math/0309418,
title = {Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n)},
author = {Pierre-Alexandre Gie and Georges Pinczon and Rosane Ushirobira},
journal= {arXiv preprint arXiv:math/0309418},
year = {2009}
}
Comments
11 pages, to be published in Letters in Mathematical Physics; added references, corrected typos