Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type WN

Gröbner–Shirshov Bases for Lie Superalge

Gröbner–Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras

✍ 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