Characters for Projective Modules in the BGG Category $\mathcal{O}$ for the Orthosymplectic Lie Superalgebra $\mathfrak{osp}(3|4)$
Representation Theory
2020-11-25 v2
Abstract
We determine the Verma multiplicities of standard filtrations of projective modules for integral atypical blocks in the BGG category for the orthosymplectic Lie superalgebras by way of translation functors. We then explicitly determine the composition factor multiplicities of Verma modules using BGG reciprocity.
Keywords
Cite
@article{arxiv.2006.06788,
title = {Characters for Projective Modules in the BGG Category $\mathcal{O}$ for the Orthosymplectic Lie Superalgebra $\mathfrak{osp}(3|4)$},
author = {Arun S. Kannan and Honglin Zhu},
journal= {arXiv preprint arXiv:2006.06788},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1810.13050