Réduction de produits semi-directs et conjecture de Gel'fand et Kirillov
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Publication:3050602
DOI10.24033/bsmf.1894zbMath0415.17007OpenAlexW2583805814MaRDI QIDQ3050602
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
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
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