Depths and cores in the light of DS-functors
Representation Theory
2020-11-10 v2 Mathematical Physics
math.MP
Abstract
The Dulfo-Serganova functors DS are tensor functors relating representations of different Lie superalgebras. In this paper we study the behaviour of various invariants, such as the defect, the dual Coxeter number, the atypicality and the cores, under the DS-functor. We introduce a notion of depth playing the role of defect for algebras and atypicality for modules. We mainly concentrate on examples of symmetrizable Kac-Moody and Q-type superalgebras.
Keywords
Cite
@article{arxiv.2010.05721,
title = {Depths and cores in the light of DS-functors},
author = {Maria Gorelik},
journal= {arXiv preprint arXiv:2010.05721},
year = {2020}
}
Comments
Example 3.5 and Section 5.9 added