The invariants of unipotent radicals of parabolic subgroups

DOI10.1007/BF01393822zbMath0501.14007MaRDI QIDQ1172105

Frank D. Grosshans

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143032

zbMATH Keywords

Hilbert's fourteenth problemfinite generation of algebra of invariantsparabolic subgroups of reductive groups

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Classical groups (algebro-geometric aspects) (14L35)

Related Items (17)

Computing quotients by connected solvable groups ⋮ On an invariant bilinear form on the space of automorphic forms via asymptotics ⋮ Symplectic implosion and nonreductive quotients ⋮ On the Popov–Pommerening conjecture for linear algebraic groups ⋮ Fields of invariants for unipotent radicals of parabolic subgroups ⋮ Sanya lectures: geometry of spherical varieties ⋮ Good filtrations and strong \(F\)-regularity of the ring of \(U_P\)-invariants ⋮ Hilbert series for torus actions ⋮ Stability of branching laws for spherical varieties and highest weight modules ⋮ Graded linearisations ⋮ An algorithm for explicit generators of the invariants of the basic G_a—actions ⋮ Reduction and reconstruction for symmetric ordinary differential equations ⋮ Stability of branching laws for highest weight modules. ⋮ Actions of ``nilpotent tori on \(G\)-varieties. ⋮ Good filtrations and \(F\)-purity of invariant subrings ⋮ On the reductive monoid associated to a parabolic subgroup ⋮ A cohomological characterization of parabolic subgroups of reductive algebraic groups

Cites Work

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• Ordered sets with the standardizing property and straightening laws for algebras of invariants
• A Künneth formula for coherent algebraic sheaves
• Instability in invariant theory
• Lectures on introduction to moduli problems and orbit spaces
• Lectures on the fourteenth problem of Hilbert
• Observable Groups and Hilbert's Fourteenth Problem
• SOME QUESTIONS IN THE THEORY OF VECTOR INVARIANTS
• ON A CLASS OF QUASIHOMOGENEOUS AFFINE VARIETIES
• Unipotent Groups in Invariant Theory

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