Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 18 (2008), No. 2, 375--382
Copyright Heldermann Verlag 2008



Right Ideals in Non-Associative Universal Enveloping Algebras of Lie Triple Systems

José M. Pérez-Izquierdo
Dpto. Matemáticas y Computación, Universidad de La Rioja, 26004 Logroño, Spain
jm.perez@unirioja.es



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.

Keywords: Lie triple systems, Sabinin algebras, universal enveloping algebras, nonassociative bialgebras.

MSC: 17A40

[ Fulltext-pdf  (151  KB)] for subscribers only.