Imbedding of Lie triple systems into Lie algebras - Mathematics > Rings and AlgebrasReportar como inadecuado




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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.



Autor: Oleg Smirnov

Fuente: https://arxiv.org/







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