The Solvabilizers and Solvable Graphs in Lie Superalgebras
Rings and Algebras
2026-02-27 v1
Abstract
In this paper, we introduce the solvabilizer and the solvable graph for a Lie superalgebra and establish their basic properties. Then we define a category which links Lie superalgebras to their solvable substructures. Afterwards, we prove that the solvable graph is one of the isomorphic invariants of the Lie superalgebras. Furthermore, we introduce the solvability measure, which can reflect the degree of solvability of Lie superalgebras.
Cite
@article{arxiv.2602.22704,
title = {The Solvabilizers and Solvable Graphs in Lie Superalgebras},
author = {Baojin Zhang and Liming Tang},
journal= {arXiv preprint arXiv:2602.22704},
year = {2026}
}
Comments
arXiv admin note: text overlap with arXiv:2601.01145. text overlap with arXiv:2601.01145