Weights of Semi-Invariants of the Quotient Division Ring of an Enveloping Algebra

DOI10.2307/2047451zbMath0663.17003OpenAlexW4240241592MaRDI QIDQ3812411

Alfons I. Ooms, Erna Nauwelaerts

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047451

zbMATH Keywords

weightsgroup algebrauniversal enveloping algebrasemi-invariantsNoetherian ringquotient division algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Ordinary and skew polynomial rings and semigroup rings (16S36) Universal enveloping (super)algebras (17B35)

Related Items (5)

Primitive localizations of an enveloping 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 ⋮ Computing invariants and semi-invariants by means of Frobenius Lie algebras ⋮ On the Jordan kernel of a universal enveloping algebra

Cites Work

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• Idéaux bilatères des algèbres enveloppantes
• Sur le semi-centre du corps enveloppant d'une algèbre de Lie
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• Tensor Products of Division Rings and Finite Generation of Subfields
• Graded krull domains

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