Geodesic
Right Ideals in Non-Associative Universal Enveloping Algebras of Lie Triple Systems
Journal of Lie Theory, Tome 18 (2008) no. 2, pp. 375-382

Voir la notice de l'article provenant de la source Heldermann Verlag

Zbl   arXiv

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.
Classification : 17A40
Mots-clés : Lie triple systems, Sabinin algebras, universal enveloping algebras, nonassociative bialgebras 
J. M. Pérez-Izquierdo. Right Ideals in Non-Associative Universal Enveloping Algebras of Lie Triple Systems. Journal of Lie Theory, Tome 18 (2008) no. 2, pp. 375-382. http://geodesic.mathdoc.fr/item/JOLT_2008_18_2_a7/
@article{JOLT_2008_18_2_a7,
     author = {J. M. P\'erez-Izquierdo},
     title = {Right {Ideals} in {Non-Associative} {Universal} {Enveloping} {Algebras} of {Lie} {Triple} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {375--382},
     year = {2008},
     volume = {18},
     number = {2},
     zbl = {1163.17007},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_2_a7/}
}
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