The Semicenter of an Enveloping Algebra is Factorial

DOI10.2307/2045599zbMath0558.17010OpenAlexW4235597895MaRDI QIDQ3223010

Alfons I. Ooms, Lieven Le Bruyn

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045599

zbMATH Keywords

universal enveloping algebraunique factorization domaincharacteristic zerofinite dimensional Lie algebradivision ring of quotientssemicenters

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Graded rings and modules (associative rings and algebras) (16W50) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items

X-inner automorphisms of crossed products and semi-invariants of Hopf algebras, On Dixmier's fourth problem, Primitive localizations of an enveloping algebra, The Frobenius semiradical of a Lie algebra., The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem, The semicentre of a group algebra, On the center and semi-center of enveloping algebras in prime characteristic, Computing invariants and semi-invariants by means of Frobenius Lie algebras, On the Jordan kernel of a universal enveloping algebra, Weights of Semi-Invariants of the Quotient Division Ring of an Enveloping Algebra

Cites Work

• On the semi-center of a universal enveloping algebra
• Divisorial ideals and invertible ideals in a graded integral domain
• Divisibility Properties of Graded Domains
• Idéaux bilatères des algèbres enveloppantes
• Algebres enveloppantes de r-algebres de lie sur certains anneaux r
• Graded krull domains
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