On some algebras related to simple Lie triple systems
- Benito, P. 1
- Draper, C. 1
- Elduque, A. 2
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0021-8693
Year of publication: 1999
Volume: 219
Issue: 1
Pages: 234-254
Type: Article
More publications in: Journal of Algebra
Abstract
The set HomDerT(T⊗ FT,T) is determined for any simple finite dimensional Lie triple system T over a field F or characteristic zero. It turns out that it contains nontrivial elements if and only if T is related to a simple Jordan algebra. In particular this provides a new proof of the determination by Laquer of the invariant affine connections in the simply connected compact irreducible Riemannian symmetric spaces. © 1999 Academic Press.