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
✦ LIBER ✦
Shirshov composition techniques in Lie superalgebras (noncommutative Gröbner bases)
✍ Scribed by A. A. Mikhalev
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 548 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1573-8795
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A generalization of the FGLM technique is given to compute Gröbner bases for two-sided ideals of free finitely generated algebras. Specializations of this algorithm are presented for the cases in which the ideal is determined by either functionals or monoid (group) presentations. Generalizations are