Characterizing Lie Algebra Structure via the Commutativity Degree

Afsaneh Shamsaki, Ahmad Erfanian and Mohsen Parvizi

Journal of Mathematics, 2026, vol. 2026, 1-6

Abstract: The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. 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≥2 and a positive integer k.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/9921706.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/9921706.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9921706

DOI: 10.1155/jom/9921706

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().