Abstract
We describe a type of Lie colour 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 Gröbner basis methods can be used to study universal enveloping algebras of factors of generic Lie colour algebras.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Enhancing Lie color algebras;Communications in Algebra;2023-11-16
2. A DOMAIN TEST FOR LIE COLOR ALGEBRAS;Journal of Algebra and Its Applications;2008-02