English

Support varieties for Lie superalgebras in characteristic 2

Representation Theory 2025-08-15 v1

Abstract

This paper investigates cohomology and support varieties for Lie superalgebras and restricted Lie superalgebras over a field of characteristic 2. The existence of an underlying ordinary Lie algebra allows us to obtain results that are still open in odd characteristic, and also to establish results that have no non-super analogues in characteristic 2.

Keywords

Cite

@article{arxiv.2205.08672,
  title  = {Support varieties for Lie superalgebras in characteristic 2},
  author = {Christopher M. Drupieski and Jonathan R. Kujawa},
  journal= {arXiv preprint arXiv:2205.08672},
  year   = {2025}
}

Comments

23 pages, comments welcome