English

Almost-simple algebraic supergroups

Rings and Algebras 2025-11-21 v1 Representation Theory

Abstract

We describe certain almost-simple algebraic supergroups over an algebraically closed field of odd or zero characteristic. In addition to supergroups with simple Lie superalgebras from Kac's theorem, we construct new supergroups whose Lie superalgebra is either non-simple or simple but is not part of Kac's list.

Keywords

Cite

@article{arxiv.2511.16293,
  title  = {Almost-simple algebraic supergroups},
  author = {S. Bouarroudj and A. N. Zubkov},
  journal= {arXiv preprint arXiv:2511.16293},
  year   = {2025}
}