Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras

zbMath1452.17015arXiv1701.02238MaRDI QIDQ4557952

Polyxeni Lamprou, Florence Fauquant-Millet

Publication date: 27 November 2018

Full work available at URL: https://arxiv.org/abs/1701.02238

zbMATH Keywords

parabolic subalgebraspolynomialityadapted pairsPoisson centre

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Universal enveloping (super)algebras (17B35) Root systems (17B22)

Related Items (6)

Weierstrass sections for some truncated parabolic subalgebras ⋮ On Dixmier's fourth problem ⋮ Takiff algebras with polynomial rings of symmetric invariants ⋮ Weierstrass sections for parabolic adjoint action in type \(A\) ⋮ About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras ⋮ Semi-Direct Products Involving Sp2n or Spinn with Free Algebras of Symmetric Invariants

Cites Work

• Unnamed Item
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• Parabolic contractions of semisimple Lie algebras and their invariants
• The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem
• An algebraic slice in the coadjoint space of the Borel and the Coxeter element
• Polynomiality of invariants, unimodularity and adapted pairs
• On semi-invariants and index for biparabolic (seaweed) algebras. I
• Slices for biparabolic coadjoint actions in type A
• Compatible adapted pairs and a common slice theorem for some centralizers
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• A preparation theorem for the prime spectrum of a semisimple Lie algebra
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Slices for maximal parabolic subalgebras of a semisimple Lie algebra
• Some semi-direct products with free algebras of symmetric invariants
• A remarkable contraction of semisimple Lie algebras
• Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra
• On semi-invariants and index for biparabolic (seaweed) algebras. II.
• On symmetric invariants of centralisers in reductive Lie algebras
• Maximal Poisson commutative subalgebras for truncated parabolic subalgebras of maximal index in \(\mathfrak{sl}_n\)
• The sum of the false degrees -- a mystery in the theory of invariants
• Symmetric invariants related to representations of exceptional simple groups
• Symmetric invariants of ℤ2-contractions and other semi-direct products
• Lie Group Representations on Polynomial Rings
• A counterexample to Premet's and Joseph's conjectures
• Semi-centre de l'algèbre enveloppante d'une sous-algèbre parabolique d'une algèbre de Lie semi-simple☆
• On the semi-invariants of a parabolic subalgebra of a quantized enveloping algebra
• Adapted pairs in type A and regular nilpotent elements

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