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Gröbner–Shirshov bases for Vinberg–Koszul–Gerstenhaber right-symmetric algebras

✍ Scribed by L. A. Bokut; Yuqun Chen; Yu Li


Publisher
Springer US
Year
2010
Tongue
English
Weight
164 KB
Volume
166
Category
Article
ISSN
1573-8795

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Gröbner–Shirshov Bases for Lie Superalge
✍ Leonid A Bokut; Seok-Jin Kang; Kyu-Hwan Lee; Peter Malcolmson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 231 KB

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