Mathematics – Rings and Algebras
Scientific paper
2009-06-05
Mathematics
Rings and Algebras
13 pages
Scientific paper
We show that the category of Lie triple systems is equivalent to the category
of Lie algebras graded by Z/(2Z) such that the odd component generates the
algbera and the second graded cohomology group coefficients in any trivial
module is zero. As a corollary we obtain an analogous result for symmetric
spaces and Lie groups.
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