A characterization of the semisimplity of Lie-type algebras through the existence of certain linear bases

DOI10.1080/03081087.2016.1256368zbMath1369.17030OpenAlexW2553527866WikidataQ115299566 ScholiaQ115299566MaRDI QIDQ5351836

Hani Abdelwahab, Ahmed Sadek Hegazi, Antonio Jesús Calderón Martín

Publication date: 30 August 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1256368

zbMATH Keywords

Lie algebraassociative algebrasemisimple algebraLeibniz algebradivision algebralinear basisLie type algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple, semisimple Jordan algebras (17C20) Simple, semisimple, reductive (super)algebras (17B20) Leibniz algebras (17A32) Vector spaces, linear dependence, rank, lineability (15A03) Nonassociative division algebras (17A35)

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