Five-dimensional nilpotent evolution algebras
A. S. Hegazi, Hani Abdelwahab
TL;DR
This paper provides a comprehensive classification of five-dimensional nilpotent evolution algebras over algebraically closed fields, identifying 27 unique cases and 2 parametric families.
Contribution
It offers the first complete classification of five-dimensional nilpotent evolution algebras, including explicit lists of non-isomorphic types and parametric families.
Findings
27 isolated non-isomorphic algebras identified
2 parametric families of algebras described
Complete classification over algebraically closed fields
Abstract
The paper is devoted to give a complete classification of five-dimension nilpotent evolution algebras over an algebraically closed field. We obtained a list of 27 isolated non-isomorphic nilpotent evolution algebras and 2 families of non-isomorphic algebras depending on one parameter.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models