𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A criterion for primeness of enveloping algebras of Lie superalgebras

✍ Scribed by Allen D. Bell


Book ID
107816528
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
722 KB
Volume
69
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Primeness Criteria for Universal Envelop
✍ Kenneth L Price 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 156 KB

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

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