Right ideals in non-associative universal enveloping algebras of Lie triple systems
-
1
Universidad de La Rioja
info
ISSN: 0949-5932
Année de publication: 2008
Volumen: 18
Número: 2
Pages: 375-382
Type: Article
D'autres publications dans: Journal of Lie Theory
Projets liés
Résumé
We prove that the only proper right ideal of the universal enveloping algebra of a finite-dimensional central simple Lie triple system over a field of characteristic zero is its augmentation ideal. This provides new series of infinite-dimensional simple non-associative algebras strongly connected with Hopf algebras and geometry. © 2008 Heldermann Verlag.