Low-dimensional commutative power-associative superalgebras

Isabel Hernandez,Rodrigo Lucas Rodrigues,Elkin Oveimar Quintero Vanegas

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION（2021）

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摘要

The aim of this work is to provide a concrete list of non-isomorphic commutative power-associative superalgebras up to dimension 4 over an algebraically closed field of characteristic prime to 30. As a byproduct, we exhibit an example of a simple non-Jordan power-associative superalgebra whose even part is not semisimple.

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关键词

Power-associative algebras, commutative power-associative superalgebras

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