The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem

DOI10.1016/j.jalgebra.2016.12.009zbMath1418.17030arXiv1605.04200OpenAlexW2350587786WikidataQ115350723 ScholiaQ115350723MaRDI QIDQ517059

Alfons I. Ooms

Publication date: 16 March 2017

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

Full work available at URL: https://arxiv.org/abs/1605.04200

zbMATH Keywords

enveloping algebrasemi-invariantsDixmier's fourth problemPoisson centerpolynomiality

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items (6)

Weierstrass sections for some truncated parabolic subalgebras ⋮ On Dixmier's fourth problem ⋮ A generalization of Veldkamp's theorem for a class of Lie algebras ⋮ On the semi-centre of a Poisson algebra ⋮ The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮ Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras

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