Action on Grassmannians Associated with a Field Extension

DOI10.2307/2001858zbMath0744.15026OpenAlexW4230191929MaRDI QIDQ3979966

Patrick Rabau

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2001858

zbMATH Keywords

Grassmanniansorbitfield extensionYoung latticelinear group dimension invariant

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Vector spaces, linear dependence, rank, lineability (15A03) Exterior algebra, Grassmann algebras (15A75)

Related Items (5)

Products of symplectic groups acting on isotropic subspaces ⋮ Action of general linear groups on grassmannians ⋮ Action on Grassmannians Associated with Commutative Semisimple Algebras ⋮ Action on flag varieties: 2-dimensional case ⋮ The action of the symplectic group associated with a quadratic extension of fields

Cites Work

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• Field extensions and isotropic subspaces in symplectic geometry
• Quotients of Peck posets
• Explicit constructions of automorphic \(L\)-functions
• Strange Evaluations of Hypergeometric Series
• Action on Grassmannians Associated with Commutative Semisimple Algebras

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