Integral bases for the universal enveloping algebras of map algebras
✍ Scribed by Chamberlin, Samuel
- Book ID
- 118271620
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 262 KB
- Volume
- 377
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
We write det L L / 0 q y y if the matrix formed by brackets between elements of a basis of L L is nonsinguy lar. Unlike Lie super algebras, a Lie color algebra L L may have det L L / 0 and a Ž . universal enveloping algebra U L L which is not prime. We will provide examples Ž . and show that U L L i
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