Ideals of the enveloping algebra \(U(sl_2)\)

DOI10.1006/jabr.1997.7284zbMath0970.17009OpenAlexW1545820873MaRDI QIDQ1265530

Stefan Catoiu

Publication date: 14 October 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7284

zbMATH Keywords

prime idealsuniversal enveloping algebratwo-sided idealsadjoint representationsimple Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items

On prime and primitive ideals of the centrally extended Heisenberg double of SL₂ ⋮ Unnamed Item ⋮ Adjoint action for quantum algebra \(U_{r,t}\) ⋮ A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮ On noncommutative Noetherian schemes. ⋮ Prime ideals of the enveloping algebraU(sl₃) ⋮ PRESENTATION OF QUANTUM GENERALIZED SCHUR ALGEBRAS ⋮ Ideals in tensor powers of the enveloping algebrau(sl₂) ⋮ On the ideals of the Radford Hopf algebras

Cites Work

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• Primitive ideals in enveloping algebras
• Description of two-sided ideals in a class of noncommutative rings. I
• Description of two-sided ideals in a class of noncommutative rings. II
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)
• The Primitive Factor Rings of the Enveloping Algebra of sl (2, C )
• Ideals in tensor powers of the enveloping algebrau(sl₂)
• Prime ideals of the enveloping algebraU(sl₃)
• Introduction to Lie Algebras and Representation Theory