On the values of commutativity degree of Lie algebras
Algebraic Geometry
2024-06-17 v1 Commutative Algebra
Abstract
In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1\qk for all q greater than 2 and a positive integer k.
Cite
@article{arxiv.2406.10077,
title = {On the values of commutativity degree of Lie algebras},
author = {Afsaneh Shamsaki and Ahmad Erfanian and Mohsen Parvizi},
journal= {arXiv preprint arXiv:2406.10077},
year = {2024}
}
Comments
8 pages