On Evolution Algebras
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- 11 April 2014
- journal article
- Published by World Scientific Pub Co Pte Ltd in Algebra Colloquium
- Vol. 21 (2), 331-342
- https://doi.org/10.1142/s1005386714000285
Abstract
The structural constants of an evolution algebra are given by a quadratic matrix. In this work we establish an equivalence between nil, right nilpotent evolution algebras and evolution algebras defined by upper triangular matrices. The classification of 2-dimensional complex evolution algebras is obtained. For an evolution algebra with a special form of the matrix, 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.Keywords
This publication has 3 references indexed in Scilit:
- SOME PROPERTIES OF EVOLUTION ALGEBRASBulletin of the Korean Mathematical Society, 2013
- Evolution algebras generated by Gibbs measuresLobachevskii Journal of Mathematics, 2011
- The algebraic and geometric classification of associative algebras of dimension fivemanuscripta mathematica, 1979