Generic Lie Color Algebras

Details Generic Lie Color Algebras Generic Lie Color Algebras

2004-11-07

arxiv.org/abs/math/0411149v1

Bull. Austral. Math. Soc. Vol. 71 (2005) [327-335]

Mathematics

Representation Theory

9 pages, submitted

Scientific paper

We describe a type of Lie color algebra, which we call generic, whose
universal enveloping algebra is a domain with finite global dimension.
Moreover, it is an iterated Ore extension. We provide an application and show
Grobner basis methods can be used to study universal enveloping algebras of
factors of generic Lie color algebras.

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