On solvable Lie superalgebras of maximal rank
Rings and Algebras
2024-02-20 v1
Abstract
In this paper we establish some basic properties of superderivations of Lie superalgebras. Under certain conditions, for solvable Lie superalgebras with given nilradicals, we give estimates for upper bounds to dimensions of complementary subspaces to the nilradicals. Moreover, under these conditions we describe the solvable Lie superalgebras of maximal rank. Namely, we prove that an arbitrary solvable Lie superalgebra of maximal rank is isomorphic to the maximal solvable extension of nilradical of maximal rank.
Keywords
Cite
@article{arxiv.2402.11479,
title = {On solvable Lie superalgebras of maximal rank},
author = {Bakhrom A. Omirov and Isamiddin S. Rakhimov and Gulkhayo O. Solijanova},
journal= {arXiv preprint arXiv:2402.11479},
year = {2024}
}