Minimal prime ideals in enveloping algebras of Lie superalgebras

DOI10.1090/S0002-9939-96-03230-3zbMath0865.17003OpenAlexW1604234468MaRDI QIDQ4890223

Ellen E. Kirkman, James J. Kuzmanovich

Publication date: 30 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03230-3

zbMATH Keywords

enveloping algebraLie superalgebraprime idealAuslander-Gorenstein ring

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Superalgebras (17A70) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Lie superalgebras, Clifford algebras, induced modules and nilpotent orbits, Primeness of the enveloping algebra of a Cartan type Lie superalgebra, 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, Bell's primeness criterion and the simple Lie superalgebras, On representations of the Lie superalgebra \(p\)(\(n\))

Cites Work

• A criterion for primeness of enveloping algebras of Lie superalgebras
• Enveloping algebras of Lie superalgebras
• Finitistic dimensions of Noetherian rings
• Complete sets of representations of classical Lie superalgebras
• Homological properties of (graded) Noetherian PI rings
• Some properties of non-commutative regular graded rings
• Primitive Factors of Enveloping Algebras of Nilpotent Lie Superalgebras
• Primeness of the enveloping algebra of a Cartan type Lie superalgebra
• Lie superalgebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item