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- Haboush's_theorem abstract "In mathematics Haboush's theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K, and for any linear representation ρ of G on a K-vector space V, given v ≠ 0 in V that is fixed by the action of G, there is a G-invariant polynomial F on V, without constant term, such that F(v) ≠ 0.The polynomial can be taken to be homogeneous, in other words an element of a symmetric power of the dual of V, and if the characteristic is p>0 the degree of the polynomial can be taken to be a power of p. When K has characteristic 0 this was well known; in fact Weyl's theorem on the complete reducibility of the representations of G implies that F can even be taken to be linear. Mumford's conjecture about the extension to prime characteristic p was proved by W. J. Haboush (1975), about a decade after the problem had been posed by David Mumford, in the introduction to the first edition of his book Geometric Invariant Theory.".
- Haboush's_theorem wikiPageExternalLink 1250524787.
- Haboush's_theorem wikiPageID "632762".
- Haboush's_theorem wikiPageRevisionID "582094834".
- Haboush's_theorem authorlink "Vladimir L. Popov".
- Haboush's_theorem first "V.L.".
- Haboush's_theorem hasPhotoCollection Haboush's_theorem.
- Haboush's_theorem id "M/m065570".
- Haboush's_theorem last "Popov".
- Haboush's_theorem title "Mumford hypothesis".
- Haboush's_theorem subject Category:Invariant_theory.
- Haboush's_theorem subject Category:Representation_theory_of_algebraic_groups.
- Haboush's_theorem subject Category:Theorems_in_representation_theory.
- Haboush's_theorem type Abstraction100002137.
- Haboush's_theorem type Communication100033020.
- Haboush's_theorem type Message106598915.
- Haboush's_theorem type Proposition106750804.
- Haboush's_theorem type Statement106722453.
- Haboush's_theorem type Theorem106752293.
- Haboush's_theorem type TheoremsInRepresentationTheory.
- Haboush's_theorem comment "In mathematics Haboush's theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K, and for any linear representation ρ of G on a K-vector space V, given v ≠ 0 in V that is fixed by the action of G, there is a G-invariant polynomial F on V, without constant term, such that F(v) ≠ 0.The polynomial can be taken to be homogeneous, in other words an element of a symmetric power of the dual of V, and if the characteristic is p>0 the degree of the polynomial can be taken to be a power of p. ".
- Haboush's_theorem label "Haboush's theorem".
- Haboush's_theorem label "Théorème de Haboush".
- Haboush's_theorem sameAs Théorème_de_Haboush.
- Haboush's_theorem sameAs m.02yt7d.
- Haboush's_theorem sameAs Q3527088.
- Haboush's_theorem sameAs Q3527088.
- Haboush's_theorem sameAs Haboush's_theorem.
- Haboush's_theorem wasDerivedFrom Haboush's_theorem?oldid=582094834.
- Haboush's_theorem isPrimaryTopicOf Haboush's_theorem.