Gröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras

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We show that a set of monic polynomials in the free Lie superalgebra is a Gröbner-Shirshov basis for a Lie superalgebra if and only if it is a Gröbner-Shirshov basis for its universal enveloping algebra. We investigate the structure of Gröbner-Shirshov bases for Kac-Moody superalgebras and give explicit constructions of Gröbner-Shirshov bases for classical Lie superalgebras.
36 pages

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Representation Theory, 17A70

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http://salesiana.dossiersoluciones.com/handle/123456789/77356

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809024
 http://arxiv.org/abs/math/9809024

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arXiv