Compatible adapted pairs and a common slice theorem for some centralizers

DOI10.1007/s00031-008-9017-xzbMath1206.17011OpenAlexW2029028389MaRDI QIDQ1024598

Anthony Joseph

Publication date: 17 June 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-008-9017-x

zbMATH Keywords

centralizersslicesshift of argument

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Universal enveloping (super)algebras (17B35)

Related Items (12)

Weierstrass sections for some truncated parabolic subalgebras ⋮ The hidden semi-invariants generators of an almost-Frobenius biparabolic ⋮ Weierstrass sections for parabolic adjoint action in type \(A\) ⋮ 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 ⋮ The composition tableau and reconstruction of the canonical Weierstrass section for parabolic adjoint action in type \(A\) ⋮ About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras ⋮ The integrality of an adapted pair ⋮ Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras ⋮ An algebraic slice in the coadjoint space of the Borel and the Coxeter element

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