Graded Lie algebra
id:
graded-lie-algebra-272-7564877
title:
Graded Lie algebra
text:
In mathematics, a graded Lie algebra is a Lie algebra endowed with a gradation which is compatible with the Lie bracket. In other words, a graded Lie algebra is a Lie algebra which is also a nonassociative graded algebra under the bracket operation. A choice of Cartan decomposition endows any semisimple Lie algebra with the structure of a graded Lie algebra. Any parabolic Lie algebra is also a graded Lie algebra. A graded Lie superalgebra extends the notion of a graded Lie algebra in such a way
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Graded_Lie_algebra
date created:
date modified:
2022-03-02T16:50:07Z
main entity:
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fields total:
13
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