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Feigin's map and monomial bases for quantized enveloping algebras

✍ Scribed by Markus Reineke


Publisher
Springer-Verlag
Year
2001
Tongue
French
Weight
244 KB
Volume
237
Category
Article
ISSN
0025-5874

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We show that a set of monic polynomials in a free Lie superalgebra is a Grobner᎐Shirshov basis for a Lie superalgebra if and only if it is a Grobner᎐Shirshov basis for its universal enveloping algebra. We investigate the structure of Grobner᎐Shirshov bases for Kac᎐Moody superalgebras and give ëxplic