Imbedding of Lie triple systems into Lie algebras - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: We show that the category of Lie triple systems is equivalent to the categoryof Lie algebras graded by Z-2Z such that the odd component generates thealgbera and the second graded cohomology group coefficients in any trivialmodule is zero. As a corollary we obtain an analogous result for symmetricspaces and Lie groups.



Author: Oleg Smirnov

Source: https://arxiv.org/



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