Whittaker categories and strongly typical Whittaker modules for Lie superalgebras
Representation Theory
2012-01-26 v1
Abstract
Following analogous constructions for Lie algebras, we define Whittaker modules and Whittaker categories for finite-dimensional simple Lie superalgebras. Results include a decomposition of Whittaker categories for a Lie superalgebra according to the action of an appropriate sub-superalgebra; and, for basic classical Lie superalgebras of type I, a description of the strongly typical simple Whittaker modules.
Keywords
Cite
@article{arxiv.1201.5350,
title = {Whittaker categories and strongly typical Whittaker modules for Lie superalgebras},
author = {Irfan Bagci and Konstantina Christodoulopoulou and Emilie Wiesner},
journal= {arXiv preprint arXiv:1201.5350},
year = {2012}
}