The centralizer of a 3-dimensional simple subalgebra in the universal enveloping algebra of a 7-dimensional simple Malcev algebra

DOI10.1134/S0037446613040150zbMath1337.17021OpenAlexW2040055677MaRDI QIDQ376214

T. I. Shabalin

Publication date: 4 November 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446613040150

zbMATH Keywords

Lie algebraPoisson bracketuniversal enveloping algebraalternative algebraMalcev algebraalgebra of octonions

Mathematics Subject Classification ID

Mal'tsev rings and algebras (17D10)

Cites Work

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• An envelope for Malcev algebras.
• The Chevalley and Costant theorems for Mal’tsev algebras
• Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic
• On the tensor product of composition algebras

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