Polarizations and Nullcone of Representations of Reductive Groups

DOI10.1007/978-0-8176-4875-6_8zbMath1223.20040OpenAlexW58100147MaRDI QIDQ3161494

Hanspeter Kraft, Nolan R. Wallach

Publication date: 14 October 2010

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

Full work available at URL: https://edoc.unibas.ch/11723/1/20110826101319_4e57559f494a8.pdf

zbMATH Keywords

polarizationscoordinate ringsqubitsfinite-dimensional modulescomplex reductive groupsnullconesHilbert-Mumford criterionhomogeneous invariant functions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (4)

The null-cone and cohomology of vector bundles on flag varieties ⋮ The nullcone in the multi-vector representation of the symplectic group and related combinatorics ⋮ SL\(_{2}\)-modules of small homological dimension ⋮ Nilpotent bicone and characteristic submodule of a reductive Lie algebra

Cites Work

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• Der kanonische Modul eines Invariantenrings. (The canonical module of a ring of invariants)
• On the nullcone of representations of reductive groups.
• On classical invariant theory and binary cubics
• When polarizations generate
• Lie groups. An approach through invariants and representations
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• On Some q-Analogs of a Theorem of Kostant-Rallis
• The ring of invariants of matrices
• Nilpotent subspaces of maximal dimension in semi-simple Lie algebras

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