✦ LIBER ✦
Gröbner–Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras
✍ Scribed by Leonid A Bokut; Seok-Jin Kang; Kyu-Hwan Lee; Peter Malcolmson
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 231 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
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 ëxplicit constructions of Grobner᎐Shirshov bases for classical Lie superalgebras.
ᮊ 1999 Academic Press
U Supported in part by the Russian Fund of Basic Research.