Concept information
Preferred term
graded Lie algebra
Definition(s)
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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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Graded_Lie_algebra)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-PR2WWWLH-4
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