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

DOI10.1016/j.aim.2007.10.002zbMath1183.17004arXiv1306.0529OpenAlexW2089610578MaRDI QIDQ2470413

Florence Fauquant-Millet, Anthony Joseph

Publication date: 14 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0529

zbMATH Keywords

centerenveloping algebrasemisimple Lie algebraparabolic subalgebrasemicenter

Mathematics Subject Classification ID

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

Related Items

Weierstrass sections for some truncated parabolic subalgebras, On Dixmier's fourth problem, Symmetric invariants related to representations of exceptional simple groups, The hidden semi-invariants generators of an almost-Frobenius biparabolic, The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven, Slices for biparabolics of index 1, Polynomiality of invariants, unimodularity and adapted pairs, Slices for maximal parabolic subalgebras of a semisimple Lie algebra, Slices for biparabolic coadjoint actions in type A, The polynomiality of the Poisson center and semi-center of a Lie algebra and Dixmier's fourth problem, Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras, An algebraic slice in the coadjoint space of the Borel and the Coxeter element, A degree inequality for Lie algebras with a regular Poisson semi-center, Computing invariants and semi-invariants by means of Frobenius Lie algebras, Compatible adapted pairs and a common slice theorem for some centralizers

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