S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Journal Papers (저널논문_수리과학부)
Grobner-Shirshov bases for classical Lie superalgebras and their enveloping algebras
- Bokut, Leonid A.; Kang, Seok-Jin; Lee, Kyu-Hwan; Malcolmson, Peter
- Issue Date
- J. Algebra 217 (1999), 461-495
- 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.
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