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- Lattice_(discrete_subgroup) abstract "In Lie theory and related areas of mathematics, a lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of Rn, this amounts to the usual geometric notion of a lattice, and both the algebraic structure of lattices and the geometry of the totality of all lattices are relatively well understood. Deep results of Borel, Harish-Chandra, Mostow, Tamagawa, M. S. Raghunathan, Margulis, Zimmer obtained from the 1950s through the 1970s provided examples and generalized much of the theory to the setting of nilpotent Lie groups and semisimple algebraic groups over a local field. In the 1990s, Bass and Lubotzky initiated the study of tree lattices, which remains an active research area.".
- Lattice_(discrete_subgroup) wikiPageExternalLink IntroArithGroups.html.
- Lattice_(discrete_subgroup) wikiPageID "15782871".
- Lattice_(discrete_subgroup) wikiPageRevisionID "545149744".
- Lattice_(discrete_subgroup) hasPhotoCollection Lattice_(discrete_subgroup).
- Lattice_(discrete_subgroup) subject Category:Algebraic_groups.
- Lattice_(discrete_subgroup) subject Category:Ergodic_theory.
- Lattice_(discrete_subgroup) subject Category:Lie_groups.
- Lattice_(discrete_subgroup) type Abstraction100002137.
- Lattice_(discrete_subgroup) type AlgebraicGroups.
- Lattice_(discrete_subgroup) type Group100031264.
- Lattice_(discrete_subgroup) type LieGroups.
- Lattice_(discrete_subgroup) comment "In Lie theory and related areas of mathematics, a lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of Rn, this amounts to the usual geometric notion of a lattice, and both the algebraic structure of lattices and the geometry of the totality of all lattices are relatively well understood. Deep results of Borel, Harish-Chandra, Mostow, Tamagawa, M. S.".
- Lattice_(discrete_subgroup) label "Lattice (discrete subgroup)".
- Lattice_(discrete_subgroup) label "局所コンパクト群における格子".
- Lattice_(discrete_subgroup) sameAs 局所コンパクト群における格子.
- Lattice_(discrete_subgroup) sameAs m.03ntfnr.
- Lattice_(discrete_subgroup) sameAs Q6497088.
- Lattice_(discrete_subgroup) sameAs Q6497088.
- Lattice_(discrete_subgroup) sameAs Lattice_(discrete_subgroup).
- Lattice_(discrete_subgroup) wasDerivedFrom Lattice_(discrete_subgroup)?oldid=545149744.
- Lattice_(discrete_subgroup) isPrimaryTopicOf Lattice_(discrete_subgroup).