Réduction de produits semi-directs et conjecture de Gel'fand et Kirillov

DOI10.24033/bsmf.1894zbMath0415.17007OpenAlexW2583805814MaRDI QIDQ3050602

Nghiêm Xuân Hai

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__241_0

zbMATH Keywords

enveloping algebrasinduced representationssemi-direct products of Lie algebras

Mathematics Subject Classification ID

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

Related Items (8)

Completely prime ideals of the enveloping algebra of \(\mathfrak{gl}_ n({\mathbb{C}})\)). ⋮ The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras ⋮ The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras ⋮ Construction of representations of Poincaré group using Lie fields ⋮ La transformation de Fourier-Plancherel analytique des groupes de Lie. I: Algèbres de Weyl et opérateurs différentiels ⋮ The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem ⋮ Modular Lie algebras and the Gelfand-Kirillov conjecture ⋮ The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight

Cites Work

• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Group-theoretical foundations of classical and quantum mechanics. I. Observables associated with Lie algebras
• Sur les algèbres de Weyl
• Differential Forms on General Commutative Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Réduction de produits semi-directs et conjecture de Gel'fand et Kirillov