Malcev algebra
id:
malcev-algebra-321-5426616
title:
Malcev algebra
text:
In mathematics, a Malcev algebra over a field is a nonassociative algebra that is antisymmetric, so that and satisfies the Malcev identity They were first defined by Anatoly Maltsev (1955). Malcev algebras play a role in the theory of Moufang loops that generalizes the role of Lie algebras in the theory of groups. Namely, just as the tangent space of the identity element of a Lie group forms a Lie algebra, the tangent space of the identity of a smooth Moufang loop forms a Malcev algebra. Moreove
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Malcev_algebra
date created:
date modified:
2021-03-23T18:43:55Z
main entity:
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