Linkage principle for ortho-symplectic supergroups
Representation Theory
2016-08-05 v1
Abstract
The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the orthosymplectic group and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening of the orthosymplectic supergroup of type and . Based on this, we derive the linkage principle for orthosymplectic supergroup and .
Cite
@article{arxiv.1608.01545,
title = {Linkage principle for ortho-symplectic supergroups},
author = {Frantisek Marko and Alexandr N. Zubkov},
journal= {arXiv preprint arXiv:1608.01545},
year = {2016}
}