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- Prehomogeneous_vector_space abstract "In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V) such that G has an open dense orbit in V. Prehomogeneous vector spaces were introduced by Mikio Sato in 1970 and have many applications in geometry, number theory and analysis, as well as representation theory. The irreducible PVS were classified by Sato and Tatsuo Kimura in 1977, up to a transformation known as "castling". They are subdivided into two types, according to whether the semisimple part of G acts prehomogeneously or not. If it doesn't then there is a homogeneous polynomial on V which is invariant under the semisimple part of G.".
- Prehomogeneous_vector_space wikiPageExternalLink books?id=qYH8oIekZF4C.
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- Prehomogeneous_vector_space wikiPageRevisionID "671205457".
- Prehomogeneous_vector_space wikiPageWikiLink Algebraic_group.
- Prehomogeneous_vector_space wikiPageWikiLink American_Mathematical_Society.
- Prehomogeneous_vector_space wikiPageWikiLink Analysis.
- Prehomogeneous_vector_space wikiPageWikiLink Annals_of_Mathematics.
- Prehomogeneous_vector_space wikiPageWikiLink Borel_subgroup.
- Prehomogeneous_vector_space wikiPageWikiLink Castling.
- Prehomogeneous_vector_space wikiPageWikiLink Category:Representation_theory.
- Prehomogeneous_vector_space wikiPageWikiLink Center_(group_theory).
- Prehomogeneous_vector_space wikiPageWikiLink Centre_(group_theory).
- Prehomogeneous_vector_space wikiPageWikiLink Codimension.
- Prehomogeneous_vector_space wikiPageWikiLink Covering_group.
- Prehomogeneous_vector_space wikiPageWikiLink Division_algebra.
- Prehomogeneous_vector_space wikiPageWikiLink Divisor_(algebraic_geometry).
- Prehomogeneous_vector_space wikiPageWikiLink Dynkin_diagram.
- Prehomogeneous_vector_space wikiPageWikiLink Ernest_Vinberg.
- Prehomogeneous_vector_space wikiPageWikiLink Faithful_representation.
- Prehomogeneous_vector_space wikiPageWikiLink Flag_variety.
- Prehomogeneous_vector_space wikiPageWikiLink Freudenthal_magic_square.
- Prehomogeneous_vector_space wikiPageWikiLink General_linear_group.
- Prehomogeneous_vector_space wikiPageWikiLink Generalized_flag_variety.
- Prehomogeneous_vector_space wikiPageWikiLink Geometry.
- Prehomogeneous_vector_space wikiPageWikiLink Grassmannian.
- Prehomogeneous_vector_space wikiPageWikiLink Group_action.
- Prehomogeneous_vector_space wikiPageWikiLink Hermitian_symmetric_space.
- Prehomogeneous_vector_space wikiPageWikiLink Homogeneous_polynomial.
- Prehomogeneous_vector_space wikiPageWikiLink Jordan_algebra.
- Prehomogeneous_vector_space wikiPageWikiLink Jordan_triple_system.
- Prehomogeneous_vector_space wikiPageWikiLink Levi_decomposition.
- Prehomogeneous_vector_space wikiPageWikiLink Levi_factor.
- Prehomogeneous_vector_space wikiPageWikiLink Lie_algebra.
- Prehomogeneous_vector_space wikiPageWikiLink Mikio_Sato.
- Prehomogeneous_vector_space wikiPageWikiLink Nilradical_of_a_Lie_algebra.
- Prehomogeneous_vector_space wikiPageWikiLink Number_theory.
- Prehomogeneous_vector_space wikiPageWikiLink Orbit_(group_theory).
- Prehomogeneous_vector_space wikiPageWikiLink Parabolic_subgroup.
- Prehomogeneous_vector_space wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences.
- Prehomogeneous_vector_space wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Prehomogeneous_vector_space wikiPageWikiLink Reductive_group.
- Prehomogeneous_vector_space wikiPageWikiLink Representation_theory.
- Prehomogeneous_vector_space wikiPageWikiLink Roger_Wolcott_Richardson.
- Prehomogeneous_vector_space wikiPageWikiLink Tangent_space.
- Prehomogeneous_vector_space wikiPageWikiLink Triple_system.
- Prehomogeneous_vector_space wikiPageWikiLink Vector_space.
- Prehomogeneous_vector_space wikiPageWikiLink Zariski_topology.
- Prehomogeneous_vector_space wikiPageWikiLink Élie_Cartan.
- Prehomogeneous_vector_space wikiPageWikiLinkText "Prehomogeneous vector space".
- Prehomogeneous_vector_space wikiPageWikiLinkText "prehomogeneous vector space".
- Prehomogeneous_vector_space wikiPageWikiLinkText "prehomogenous vector space".
- Prehomogeneous_vector_space hasPhotoCollection Prehomogeneous_vector_space.
- Prehomogeneous_vector_space wikiPageUsesTemplate Template:Citation.
- Prehomogeneous_vector_space subject Category:Representation_theory.
- Prehomogeneous_vector_space hypernym V.
- Prehomogeneous_vector_space type MeanOfTransportation.
- Prehomogeneous_vector_space type Field.
- Prehomogeneous_vector_space comment "In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V) such that G has an open dense orbit in V. Prehomogeneous vector spaces were introduced by Mikio Sato in 1970 and have many applications in geometry, number theory and analysis, as well as representation theory. The irreducible PVS were classified by Sato and Tatsuo Kimura in 1977, up to a transformation known as "castling".".
- Prehomogeneous_vector_space label "Prehomogeneous vector space".
- Prehomogeneous_vector_space sameAs m.03chfqr.
- Prehomogeneous_vector_space sameAs Q7239976.
- Prehomogeneous_vector_space sameAs Q7239976.
- Prehomogeneous_vector_space wasDerivedFrom Prehomogeneous_vector_space?oldid=671205457.
- Prehomogeneous_vector_space isPrimaryTopicOf Prehomogeneous_vector_space.