Margulis arithmeticity

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Margulis_arithmeticity_theorem
gptkbp:field gptkb:Lie_groups
ergodic theory
arithmetic groups
gptkbp:formedBy gptkb:Grigory_Margulis
https://www.w3.org/2000/01/rdf-schema#label Margulis arithmeticity
gptkbp:implies Most lattices in higher-rank semisimple Lie groups are arithmetic
gptkbp:influenced modern theory of discrete subgroups of Lie groups
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Margulis_superrigidity_theorem
modular group
lattice in Lie group
gptkbp:significance classification of lattices in semisimple Lie groups
gptkbp:state Any irreducible lattice in a higher-rank semisimple Lie group is arithmetic
gptkbp:yearProved 1970s
gptkbp:bfsParent gptkb:Gregory_Margulis
gptkbp:bfsLayer 4