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math.AG2024
On the values of commutativity degree of Lie algebras
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi
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 asympt…
math.AG2024
On the commutativity degree of a finite-dimensional Lie algebra
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi
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 re…