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Characterizing Lie Algebra Structure via the Commutativity Degree
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi
Source 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/ q k for all q ≥ 2 and a positive integer k .
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