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Generic Lie colour algebras

Published online by Cambridge University Press:  17 April 2009

Kenneth L. Price
Kenneth L. Price
Affiliation:
Department of Mathematics, University of Wisconsin Oshkosh, Oshkosh, WI 54901-8631, United States of America e-mail: [email protected]
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 327 - 335
Copyright
Copyright © Australian Mathematical Society 2005

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