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arXiv · 1401.3992

Classification of five-dimensional nilpotent Jordan algebras

A. S. Hegazi·Hani Abdelwahab
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Abstract

The paper is devoted to classify nilpotent Jordan algebras of dimension up to five over an algebraically closed field of characteristic not 2. We obtained a list of 35 isolated non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras and 6 families of non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras depending either on one or two parameters over an algebraically closed field of characteristic not 2 or 3. In addition to these algebras we obtained two non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras over an algebraically closed field of characteristic 3.

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BibTeXRIS

A. S. Hegazi, Hani Abdelwahab. 2014-01-16. Classification of five-dimensional nilpotent Jordan algebras. https://doi.org/10.1016/j.laa.2016.01.015

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