Research Article

On the commutativity degree of a finite-dimensional Lie algebra

Published in: Quaestiones Mathematicae
Volume 49 , issue 7 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 975–985

DOI: 10.2989/16073606.2026.2630095

Author(s): Afsaneh ShamsakiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran, Ahmad ErfanianDepartment of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structures, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran, Mohsen ParviziDepartment of Pure Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran,

Keywords: 17B66, 17B05, 17B30,

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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.

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Research Article

On the commutativity degree of a finite-dimensional Lie algebra

Abstract

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