English

Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras

Representation Theory 2020-11-24 v1

Abstract

We determine the Verma multiplicities and the characters of projective modules for atypical blocks in the BGG Category O for the general linear Lie superalgebras gl(22)\frak{gl}(2|2) and gl(31)\frak{gl}(3|1). We then explicitly determine the composition factor multiplcities of Verma modules in the atypicality 2 block of gl(22)\frak{gl}(2|2).

Keywords

Cite

@article{arxiv.1810.13050,
  title  = {Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras},
  author = {Arun S. Kannan},
  journal= {arXiv preprint arXiv:1810.13050},
  year   = {2020}
}