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- Superrigidity abstract "In mathematics, in the theory of discrete groups, superrigidity is a concept designed to show how a linear representation ρ of a discrete group Γ inside an algebraic group G can, under some circumstances, be as good as a representation of G itself. That this phenomenon happens for certain broadly-defined classes of lattices inside semisimple groups was the discovery of Grigory Margulis, who proved some fundamental results in this direction. There is more than one result that goes by the name of Margulis superrigidity. One statement is this: take G to be a simply-connected semisimple real algebraic group in GLn, such that the Lie group of its real points has real rank at least 2 and no compact factors. Suppose Γ is an irreducible lattice in G. For a local field F and ρ a linear representation of the lattice Γ of the Lie group, into GLn (F), assume the image ρ(Γ) is not relatively compact (in the topology arising from F) and such that its closure in the Zariski topology is connected. Then F is the real numbers or the complex numbers, and there is a rational representation of G giving rise to ρ by restriction.".
- Superrigidity wikiPageExternalLink SB_1975-1976__18__174_0.pdf.
- Superrigidity wikiPageExternalLink margulis.pdf,.
- Superrigidity wikiPageID "15783129".
- Superrigidity wikiPageRevisionID "523172836".
- Superrigidity hasPhotoCollection Superrigidity.
- Superrigidity id "d/d033150".
- Superrigidity title "Discrete subgroup".
- Superrigidity subject Category:Discrete_groups.
- Superrigidity type Abstraction100002137.
- Superrigidity type DiscreteGroups.
- Superrigidity type Group100031264.
- Superrigidity comment "In mathematics, in the theory of discrete groups, superrigidity is a concept designed to show how a linear representation ρ of a discrete group Γ inside an algebraic group G can, under some circumstances, be as good as a representation of G itself. That this phenomenon happens for certain broadly-defined classes of lattices inside semisimple groups was the discovery of Grigory Margulis, who proved some fundamental results in this direction.".
- Superrigidity label "Superrigidity".
- Superrigidity sameAs m.0bs2sj2.
- Superrigidity sameAs Q7644121.
- Superrigidity sameAs Q7644121.
- Superrigidity sameAs Superrigidity.
- Superrigidity wasDerivedFrom Superrigidity?oldid=523172836.
- Superrigidity isPrimaryTopicOf Superrigidity.