English

Quasi-reductive supergroups with small even parts

Representation Theory 2026-03-24 v2 Rings and Algebras

Abstract

We describe all supergroups with the largest even supersubgroups being isomorphic to GL2,SL2\mathrm{GL}_2, \mathrm{SL}_2 or PSL2\mathrm{PSL}_2. These results are applied to the description of centralizers of certain tori in the quasi-reductive supergroups.

Keywords

Cite

@article{arxiv.2602.14597,
  title  = {Quasi-reductive supergroups with small even parts},
  author = {Alexandr N. Zubkov},
  journal= {arXiv preprint arXiv:2602.14597},
  year   = {2026}
}
R2 v1 2026-07-01T10:38:14.309Z