Right ideals in non-associative universal enveloping algebras of Lie triple systems
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Universidad de La Rioja
info
ISSN: 0949-5932
Argitalpen urtea: 2008
Alea: 18
Zenbakia: 2
Orrialdeak: 375-382
Mota: Artikulua
Beste argitalpen batzuk: Journal of Lie Theory
Lotura duten proiektuak
Laburpena
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.