English

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

Rings and Algebras 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0602431,
  title  = {Right ideals in non-associative universal enveloping algebras of Lie triple systems},
  author = {J. M. Perez Izquierdo},
  journal= {arXiv preprint arXiv:math/0602431},
  year   = {2007}
}