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arXiv · 2107.02756

Classification in chains of three-dimensional real evolution algebras

Bobomurad Narkuziyev·Utkir Rozikov
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Abstract

A chain of evolution algebras (CEA) is an uncountable family (depending on time) of evolution algebras on the field of real numbers. The matrix of structural constants of a CEA satisfies Kolmogorov-Chapman equation. In this paper, we consider three CEAs of three-dimensional real evolution algebras. These CEAs depend on several (non-zero) functions defined on the set of time. For each chain we give full classification (up to isomorphism) of the algebras depending on the time-parameter. We find concrete functions ensuring that the corresponding CEA contains all possible three-dimensional evolution algebras.

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Bobomurad Narkuziyev, Utkir Rozikov. 2021-05-28. Classification in chains of three-dimensional real evolution algebras. https://arxiv.org/abs/2107.02756

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