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Grobner-Shirshov bases for classical Lie superalgebras and their enveloping algebras
Cited 25 time in
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Cited 23 time in Scopus
- Authors
- Issue Date
- 1999
- Publisher
- Elsevier
- Citation
- J. Algebra 217 (1999), 461-495
- Abstract
- We show that a set of monic polynomials in a free Lie superalgebra is a
Gr¨obner]Shirshov basis for a Lie superalgebra if and only if it is a
Gr¨obner]Shirshov basis for its universal enveloping algebra. We investigate the
structure of Gr¨obner]Shirshov bases for Kac]Moody superalgebras and give
explicit constructions of Gr¨obner]Shirshov bases for classical Lie superalgebras.
- ISSN
- 0021-8693
- Language
- English
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