The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras

DOI10.1016/j.jalgebra.2006.03.009zbMath1169.17006OpenAlexW2034202596WikidataQ115351569 ScholiaQ115351569MaRDI QIDQ855957

Alfons I. Ooms

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.03.009

zbMATH Keywords

Gelfand-Kirillov conjectureFrobenius Lie algebrassemi-direct products of Lie algebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items

Gelfand-Kirillov conjecture in positive characteristics, Construction of representations of Poincaré group using Lie fields, Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings, 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, Computing invariants and semi-invariants by means of Frobenius Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Irreducible simple linear Lie groups with finite standard subgroups of general position
• On commutative polarizations.
• The Frobenius semiradical of a Lie algebra.
• The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight
• On certain maximal subfields in the quotient division ring of an enveloping algebra.
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• The structure of the Lie field connected with a split semisimple Lie algebra
• Réduction de produits semi-directs et conjecture de Gel'fand et Kirillov
• RATIONALITY OF THE ORBIT SPACES OF IRREDUCIBLE REPRESENTATIONS OF THE GROUP SL₂
• RATIONALITY OF SOME QUOTIENT VARIETIES
• THE RATIONALITY OF MODULI SPACES OF HYPERELLIPTIC CURVES
• On frobenius lie algebras
• Proof of the Gelfand-Kirillov Conjecture for Solvable Lie Algebras
• Sur le semi-centre du corps enveloppant d'une algèbre de Lie
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• On Lie Algebras with Primitive Envelopes, Supplements
• A class of counterexamples to the Gel’fand-Kirillov conjecture