A criterion for primeness of enveloping algebras of Lie superalgebras

DOI10.1016/0022-4049(90)90036-HzbMath0723.17011WikidataQ115364439 ScholiaQ115364439MaRDI QIDQ757567

Allen D. Bell

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

enveloping algebraLie superalgebrasymmetric algebraprimeness

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items

Complete sets of representations of classical Lie superalgebras, Some remarks on solvable Lie superalgebras, Lie superalgebras, Clifford algebras, induced modules and nilpotent orbits, On the center of the enveloping algebra of a classical simple Lie superalgebra, Primeness of the enveloping algebra of a Cartan type Lie superalgebra, Minimal prime ideals in enveloping algebras of Lie superalgebras, Reduction of the adjoint representation of sl(2,1): generators of primitive ideals, Bell's Primeness Criterion for W(2n + 1), Primeness of the enveloping algebra of Hamiltonian superalgebras, Primeness criteria for universal enveloping algebras of Lie color algebras, Enveloping algebras of Lie color algebras: Primeness versus graded-primeness, Generic Lie colour algebras, On the Goldie quotient ring of the enveloping algebra of a classical simple Lie superalgebra, Bell's primeness criterion and the simple Lie superalgebras

Cites Work

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• Zero divisors in enveloping algebras of graded Lie algebras
• Enveloping algebras of Lie superalgebras
• Radicals of crossed products of enveloping algebras
• The theory of Lie superalgebras. An introduction
• Lie superalgebras