Right ideals in non-associative universal enveloping algebras of Lie triple systems

  1. Pérez-Izquierdo, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Journal of Lie Theory

ISSN: 0949-5932

Datum der Publikation: 2008

Ausgabe: 18

Nummer: 2

Seiten: 375-382

Art: Artikel

SCOPUS: 2-s2.0-48949106534 WoS: WOS:000258836700008 GOOGLE SCHOLAR

Andere Publikationen in: Journal of Lie Theory

Projekte im Zusammenhang

Álgebras, triples y lazos relacionados con Geometría y Supersimetría

2007/00082/001

Zusammenfassung

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.