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arXiv · 2310.12368

Isomorphism Classes of Idempotent Evolution Algebras

Yangjiang Wei·Yi Ming Zou
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Abstract

We showed that isomorphism classes of idempotent evolution algebras are in bijection with the orbits of the semidirect product group of the symmetric group and the torus, considered the combinatoric problem of enumeration of isomorphism classes for these algebras over arbitrary finite fields, derived a general counting formula, and obtained explicit formulas for the numbers of isomorphism classes in dimensions 2, 3, and 4 over any finite field.

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Yangjiang Wei, Yi Ming Zou. 2023-10-18. Isomorphism Classes of Idempotent Evolution Algebras. https://doi.org/10.1016/j.laa.2023.06.006

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