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Gröbner-Shirshov Bases for Free Partially Commutative Lie Algebras

✍ Scribed by Chen, Yuqun; Mo, Qiuhui


Book ID
120640451
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
147 KB
Volume
41
Category
Article
ISSN
0092-7872

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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