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

Revista:
Journal of Lie Theory

ISSN: 0949-5932

Año de publicación: 2008

Volumen: 18

Número: 2

Páginas: 375-382

Tipo: Artículo

Otras publicaciones en: Journal of Lie Theory

Resumen

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.