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

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dc.creatorBokut, Leonid A.
dc.creatorKang, Seok-Jin
dc.creatorLee, Kyu-Hwan
dc.creatorMalcolmson, Peter
dc.date1998-09-06
dc.date.accessioned2026-07-07T05:25:54Z
dc.date.available2026-07-07T05:25:54Z
dc.descriptionWe 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.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/9809024
dc.identifierhttp://arxiv.org/abs/math/9809024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77356
dc.subjectRepresentation Theory
dc.subject17A70
dc.titleGröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras
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