On the commutativity degree of a finite-dimensional Lie algebra

2024/06/14 by Afsaneh Shamsaki, Shamsaki, Afsaneh, Ahmad Erfanian +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2406.10064

openalex publication_date 2024/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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