The Solvabilizers and Solvable Graphs in Lie Superalgebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Baojin Zhang, Liming Tang
DOI: 10.48550/arxiv.2602.22704
Cited by: 0

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.

Fields of Study & Subjects

Advanced Topics in Algebra Rings Modules and Algebras Finite Group Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint