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

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

2006-02-20

arxiv.org/abs/math/0602431v1

Mathematics

Rings and Algebras

Scientific paper

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.

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