Left ideals in an enveloping algebra, prelie products and applications to simple complex Lie algebras

Details Left ideals in an enveloping algebra, prelie products and applications to simple complex Lie algebras Left ideals in an enveloping algebra, prelie products and applications to simple complex Lie algebras

2010-01-06

arxiv.org/abs/1001.0851v1

Mathematics

Rings and Algebras

27 pages

Scientific paper

We characterize prelie algebras in words of left ideals of the enveloping
algebras and in words of modules, and use this result to prove that a simple
complex finite-dimensional Lie algebra is not prelie, with the possible
exception of f4.

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