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July 23rd 2012 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 142 pages | ISBN: 9785512729885 | 10.19 Mb

High Quality Content by WIKIPEDIA articles! 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 nonassociativeMoreHigh Quality Content by WIKIPEDIA articles! 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.

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