Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras
Rings and Algebras
2025-09-03 v1
Abstract
Restricted Heisenberg Lie superalgebras are studied over an algebraically closed field F of characteristic p > 2. We use the ordinary 1- and 2-cohomology spaces with trivial coefficients to compute the restricted 2-cohomology spaces. As an application, the corresponding restricted one-dimensional central extensions are described.
Keywords
Cite
@article{arxiv.2509.00426,
title = {Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras},
author = {Yong Yang},
journal= {arXiv preprint arXiv:2509.00426},
year = {2025}
}