Slices for biparabolic coadjoint actions in type A
From MaRDI portal
Publication:934044
DOI10.1016/j.jalgebra.2007.08.004zbMath1151.17004OpenAlexW2048898142MaRDI QIDQ934044
Publication date: 29 July 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.08.004
Related Items (18)
Weierstrass sections for some truncated parabolic subalgebras ⋮ On Dixmier's fourth problem ⋮ 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 \(A\) ⋮ Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra ⋮ About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras ⋮ Existence of Richardson elements for seaweed Lie algebras of finite type ⋮ The integrality of an adapted pair ⋮ 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 ⋮ Adapted pairs in type A and regular nilpotent elements ⋮ Compatible adapted pairs and a common slice theorem for some centralizers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On semi-invariants and index for biparabolic (seaweed) algebras. I
- A slice theorem for truncated parabolics of index one and the Bézout equation
- A Lie algebra generalization of the Amitsur-Levitski theorem
- Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
- A preparation theorem for the prime spectrum of a semisimple Lie algebra
- Quantum reduction for affine superalgebras
- On the index of certain Lie algebras.
- On semi-invariants and index for biparabolic (seaweed) algebras. II.
- On symmetric invariants of centralisers in reductive Lie algebras
- Parabolic actions in type \(A\) and their eigenslices
- 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
- Polynomial Poisson algebras with regular structure of symplectic leaves
- Commutativity of certain centralizers in the rings R\(_{n,k}\)
- Sur les représentations unitaires des groupes de Lie nilpotents. II
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case
- The maximality of certain commutative subalgebras in the Poisson algebra of a semisimple Lie algebra
- Invariants de plusieurs formes binaires
- 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☆
This page was built for publication: Slices for biparabolic coadjoint actions in type A
