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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:alsoKnownAs
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gptkb:Margulis_arithmeticity_theorem
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gptkbp:appliesTo
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irreducible lattices
semisimple Lie groups of real rank at least 2
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gptkbp:compatibleWith
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rank 1 Lie groups (except for some cases)
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gptkbp:field
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gptkb:Lie_groups
ergodic theory
arithmetic groups
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gptkbp:formedBy
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gptkb:Grigory_Margulis
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https://www.w3.org/2000/01/rdf-schema#label
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arithmeticity theorem
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gptkbp:impact
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major result in the theory of discrete subgroups of Lie groups
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gptkbp:influencedBy
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gptkb:Borel–Harish-Chandra_theorem
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gptkbp:publishedIn
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gptkb:Annals_of_Mathematics
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gptkbp:relatedTo
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gptkb:superrigidity_theorem
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gptkbp:significance
|
classified lattices in higher-rank semisimple Lie groups
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gptkbp:state
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Every irreducible lattice in a higher-rank semisimple Lie group is arithmetic
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gptkbp:usedIn
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algebraic groups over number fields
modern geometric group theory
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gptkbp:yearProved
|
1970s
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gptkbp:bfsParent
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gptkb:Margulis_superrigidity
gptkb:superrigidity_theorem
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gptkbp:bfsLayer
|
5
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