On the commutativity degree of a finite-dimensional Lie algebra
Algebraic Geometry
2024-06-17 v1 Commutative Algebra
Abstract
In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some relations between the notion of commutativity degree and known concepts in Lie algebras.
Cite
@article{arxiv.2406.10064,
title = {On the commutativity degree of a finite-dimensional Lie algebra},
author = {Afsaneh Shamsaki and Ahmad Erfanian and Mohsen Parvizi},
journal= {arXiv preprint arXiv:2406.10064},
year = {2024}
}
Comments
10 pages