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arXiv · 1004.1050

On evolution algebras

J. M. Casas·M. Ladra·B. A. Omirov·U. A. Rozikov
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Abstract

The structural constants of an evolution algebra is given by a quadratic matrix $A$. In this work we establish equivalence between nil, right nilpotent evolution algebras and evolution algebras, which are defined by upper triangular matrix $A$. The classification of 2-dimensional complex evolution algebras is obtained. For an evolution algebra with a special form of the matrix $A$ we describe all its isomorphisms and their compositions. We construct an algorithm running under Mathematica which decides if two finite dimensional evolution algebras are isomorphic.

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J. M. Casas, M. Ladra, B. A. Omirov, U. A. Rozikov. 2010-04-07. On evolution algebras. https://arxiv.org/abs/1004.1050

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