The Semicenter of an Enveloping Algebra is Factorial
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Publication:3223010
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
universal enveloping algebraunique factorization domaincharacteristic zerofinite dimensional Lie algebradivision ring of quotientssemicenters
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
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