On BBW parabolics for simple classical Lie superalgebras
Representation Theory
2020-11-17 v3
Abstract
In this paper the authors introduce a class of parabolic subalgebras for classical simple Lie superalgebras associated to the detecting subalgebras introduced by Boe, Kujawa and Nakano. These parabolic subalgebras are shown to have good cohomological properties governed by the Bott-Borel-Weil theorem involving the zero component of the Lie superalgebra in conjunction with the odd roots. These results are later used to verify an open conjecture given by Boe, Kujawa and Nakano pertaining to the equality of various support varieties.
Keywords
Cite
@article{arxiv.1810.06980,
title = {On BBW parabolics for simple classical Lie superalgebras},
author = {Dimitar Grantcharov and Nikolay Grantcharov and Daniel K. Nakano and Jerry Wu},
journal= {arXiv preprint arXiv:1810.06980},
year = {2020}
}