The minimal primitive spectrum of the enveloping algebra of the Lie superalgebra \(\text{osp}(1,2l)\).

DOI10.1006/aima.2000.1927zbMath1045.17004OpenAlexW2084164788WikidataQ115396379 ScholiaQ115396379MaRDI QIDQ1588381

Emmanuel Lanzmann, Maria Gorelik

Publication date: 13 March 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2000.1927

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items (4)

Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\) ⋮ Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras ⋮ Strongly typical representations of the basic classical Lie superalgebras ⋮ On the ghost centre of Lie superalgebras.

Cites Work

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• The enveloping algebra of the Lie superalgebra \(\mathfrak{osp}(1,2)\)
• Zero divisors in enveloping algebras of graded Lie algebras
• A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra
• The annihilation theorem for the completely reducible Lie superalgebras
• On the center of the enveloping algebra of a classical simple Lie superalgebra
• On Casimir's ghost
• Characters of typical representations of classical lie superalgebras
• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)
• A simple proof of Kostant's theorem that U(g) is free over its center
• Lie superalgebras

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