A Proof of the Popov Conjecture for Tori

DOI10.2307/2159414zbMath0754.20013OpenAlexW4239578459MaRDI QIDQ3987631

David L. Wehlau

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159414

zbMATH Keywords

weightsfibersalgebra of invariantsring of polynomial functionscomplex reductive algebraic groupconnected semisimple groupequidimensional representations of toriring of \(G\)-invariant elements

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72) Semisimple Lie groups and their representations (22E46)

Related Items (13)

When is a ring of torus invariants a polynomial ring? ⋮ Equidimensional actions of algebraic tori ⋮ On the normality of the null-fiber of the moment map for \(\theta\)- and tori representations ⋮ Canonical Artin stacks over log smooth schemes ⋮ The Hilbert series and \(a\)-invariant of circle invariants ⋮ An impossibility theorem for linear symplectic circle quotients ⋮ Hilbert series of symplectic quotients by the 2-torus ⋮ On a smoothness characterization for good moduli spaces ⋮ A proof of the Popov conjecture for quivers. ⋮ Cofree embeddings of algebraic tori preserving canonical sheaves. ⋮ Reduced class groups grafting relative invariants ⋮ Symplectic quotients have symplectic singularities ⋮ Constructive invariant theory for tori

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on nilpotent orbits
• Lifting smooth homotopies of orbit spaces
• Representations of simple Lie groups with regular rings of invariants
• Representations of simple Lie groups with a free module of covariants
• Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations)
• Equidimensional representations of simple algebraic groups

This page was built for publication: A Proof of the Popov Conjecture for Tori