Prehomogeneous Vector Spaces and Varieties

DOI10.2307/1996218zbMath0266.20043OpenAlexW4242038727MaRDI QIDQ5682973

Frank J. Servedio

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996218

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Representation theory for linear algebraic groups (20G05)

Related Items

Complexity of action of reductive groups, Espaces homogènes sphériques. (Spherical homogeneous spaces), Homogeneous domains on flag manifolds, Spherical Stein manifolds and the Weyl involution, Prime points in orbits: some instances of the Bourgain-Gamburd-Sarnak conjecture, Orbits in higher singular subvarieties of a hypersurface of a form, Some remarks on nilpotent orbits, Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups, Prehomogeneous vector space defined by a semisimple algebraic group, Bounded \(K\)-spherical functions on Heisenberg groups, Invariant distributions of classical groups, Linearizing Certain Reductive Group Actions, Affine embeddings with a finite number of orbits, A Restriction Theorem for Modules Having a Spherical Submodule, Dense orbits in Z(P) the singular hypersurface of a prehomogeneous vector space, The GL(V)-module structure of S^t(S^r(V)), symmetric tensors of degree t on symmetric tensors of degree r on V, Actions with a finite number of orbits, The Capelli identity, the double commutant theorem, and multiplicity-free actions

Cites Work

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• Arithmetic subgroups of algebraic groups
• Some Irreducible Representations of Exceptional Algebraic Groups
• A Classification of Spinors Up to Dimension Twelve
• The Exceptional Simple Lie Algebras F ₄ and E ₆