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On Dixmier's fourth problem (Q2139534)

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scientific article; zbMATH DE number 7528607

Language	Label	Description	Also known as
English	On Dixmier's fourth problem	scientific article; zbMATH DE number 7528607

Statements

scholarly article

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On Dixmier's fourth problem (English)

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Algebras and Representation Theory

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publication date

18 May 2022

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full work available at URL

https://arxiv.org/abs/1911.13234

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zbMATH Keywords

Dixmier's fourth problem

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Poisson semi-center

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biparabolic subalgebras

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MaRDI profile type

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A class of counterexamples to the Gel’fand-Kirillov conjecture

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The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight

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RATIONALITY OF SOME QUOTIENT VARIETIES

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Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)

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Meanders and Frobenius seaweed Lie algebras

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On the semi-center of a universal enveloping algebra

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Sur les extensions des représentations irréductibles des groupes de Lie nilpotents

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Opérateurs différentiels bi-invariants sur un groupe de Lie

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On compositions associated to Frobenius parabolic and seaweed subalgebras of \(\mathrm{sl}_{n}(\Bbbk)\)

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Analytic classification of pairs of involutions and its applications

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On commutative polarizations.

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Semi-centre de l'algèbre enveloppante d'une sous-algèbre parabolique d'une algèbre de Lie semi-simple☆

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The sum of the false degrees -- a mystery in the theory of invariants

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Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras

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Sur les corps liés aux algèbres enveloppantes des algèbres de Lie

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On semi-invariants and index for biparabolic (seaweed) algebras. I

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On semi-invariants and index for biparabolic (seaweed) algebras. II.

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The hidden semi-invariants generators of an almost-Frobenius biparabolic

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Slices for biparabolic coadjoint actions in type A

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An algebraic slice in the coadjoint space of the Borel and the Coxeter element

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Polynomiality of invariants, unimodularity and adapted pairs

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The rationality of the fields of invariants of reducible representations of the group \(SL_ 2\)

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The Semicenter of an Enveloping Algebra is Factorial

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On the Jordan kernel of a universal enveloping algebra

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On Lie algebras having a primitive universal enveloping algebra

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On Lie Algebras with Primitive Envelopes, Supplements

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On frobenius lie algebras

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On certain maximal subfields in the quotient division ring of an enveloping algebra.

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The Frobenius semiradical of a Lie algebra.

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Computing invariants and semi-invariants by means of Frobenius Lie algebras

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The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven

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

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A degree inequality for Lie algebras with a regular Poisson semi-center

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An extension of Raïs' theorem and seaweed subalgebras of simple Lie algebras.

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On seaweed subalgebras and meander graphs in type \(\mathsf{C}\)

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Sur le semi-centre du corps enveloppant d'une algèbre de Lie

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Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra

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La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

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A counterexample to Premet's and Joseph's conjectures

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The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture

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Weierstrass sections for some truncated parabolic subalgebras

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10468-021-10035-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2139534

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