Weierstrass sections for some truncated parabolic subalgebras

DOI10.1016/j.jalgebra.2021.03.033OpenAlexW3153097406MaRDI QIDQ831296

Florence Fauquant-Millet

Publication date: 11 May 2021

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

Full work available at URL: https://arxiv.org/abs/1907.11755

zbMATH Keywords

sliceparabolic subalgebrasemi-invariantspolynomialityadapted pairsymmetric invariantsWeierstrass section

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 (2)

On Dixmier's fourth problem ⋮ The composition tableau and reconstruction of the canonical Weierstrass section for parabolic adjoint action in type \(A\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• A degree inequality for Lie algebras with a regular Poisson semi-center
• On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
• On semi-invariants and index for biparabolic (seaweed) algebras. II.
• 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
• Sur les représentations unitaires des groupes de Lie nilpotents. II
• About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras
• Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras
• Lie Group Representations on Polynomial Rings
• 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

This page was built for publication: Weierstrass sections for some truncated parabolic subalgebras