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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) thumbnail HeisenbergCayleyGraph.png?width=300.
- Lattice_(discrete_subgroup) wikiPageExternalLink IntroArithGroups.html.
- Lattice_(discrete_subgroup) wikiPageID "15782871".
- Lattice_(discrete_subgroup) wikiPageLength "7377".
- Lattice_(discrete_subgroup) wikiPageOutDegree "60".
- Lattice_(discrete_subgroup) wikiPageRevisionID "648705147".
- Lattice_(discrete_subgroup) wikiPageWikiLink Adele_ring.
- Lattice_(discrete_subgroup) wikiPageWikiLink Adelic_algebraic_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Alexander_Lubotzky.
- Lattice_(discrete_subgroup) wikiPageWikiLink Algebraic_number_theory.
- Lattice_(discrete_subgroup) wikiPageWikiLink Arithmetic_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Armand_Borel.
- Lattice_(discrete_subgroup) wikiPageWikiLink Automorphic_form.
- Lattice_(discrete_subgroup) wikiPageWikiLink Automorphism.
- Lattice_(discrete_subgroup) wikiPageWikiLink Automorphism_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Category:Algebraic_groups.
- Lattice_(discrete_subgroup) wikiPageWikiLink Category:Ergodic_theory.
- Lattice_(discrete_subgroup) wikiPageWikiLink Category:Lie_groups.
- Lattice_(discrete_subgroup) wikiPageWikiLink Compact_space.
- Lattice_(discrete_subgroup) wikiPageWikiLink Discrete_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Discrete_subgroup.
- Lattice_(discrete_subgroup) wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Lattice_(discrete_subgroup) wikiPageWikiLink George_Mostow.
- Lattice_(discrete_subgroup) wikiPageWikiLink Global_field.
- Lattice_(discrete_subgroup) wikiPageWikiLink Graph_of_groups.
- Lattice_(discrete_subgroup) wikiPageWikiLink Grigory_Margulis.
- Lattice_(discrete_subgroup) wikiPageWikiLink Haar_measure.
- Lattice_(discrete_subgroup) wikiPageWikiLink Harish-Chandra.
- Lattice_(discrete_subgroup) wikiPageWikiLink Hyman_Bass.
- Lattice_(discrete_subgroup) wikiPageWikiLink Integer.
- Lattice_(discrete_subgroup) wikiPageWikiLink Invariant_measure.
- Lattice_(discrete_subgroup) wikiPageWikiLink Jacques_Tits.
- Lattice_(discrete_subgroup) wikiPageWikiLink Kazhdans_property_(T).
- Lattice_(discrete_subgroup) wikiPageWikiLink Lattice_(group).
- Lattice_(discrete_subgroup) wikiPageWikiLink Lie_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Lie_theory.
- Lattice_(discrete_subgroup) wikiPageWikiLink Local_field.
- Lattice_(discrete_subgroup) wikiPageWikiLink Localization_of_a_ring.
- Lattice_(discrete_subgroup) wikiPageWikiLink Locally_compact.
- Lattice_(discrete_subgroup) wikiPageWikiLink Locally_compact_space.
- Lattice_(discrete_subgroup) wikiPageWikiLink M._S._Raghunathan.
- Lattice_(discrete_subgroup) wikiPageWikiLink Mathematics.
- Lattice_(discrete_subgroup) wikiPageWikiLink Modular_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Mostow_rigidity_theorem.
- Lattice_(discrete_subgroup) wikiPageWikiLink Nilpotent_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink P-adic_number.
- Lattice_(discrete_subgroup) wikiPageWikiLink Place_(mathematics).
- Lattice_(discrete_subgroup) wikiPageWikiLink Quotient_space_(topology).
- Lattice_(discrete_subgroup) wikiPageWikiLink Robert_Zimmer.
- Lattice_(discrete_subgroup) wikiPageWikiLink Robert_Zimmer_(mathematician).
- Lattice_(discrete_subgroup) wikiPageWikiLink SL2(R).
- Lattice_(discrete_subgroup) wikiPageWikiLink Semisimple_algebraic_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Special_linear_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Springer-Verlag.
- Lattice_(discrete_subgroup) wikiPageWikiLink Springer_Science+Business_Media.
- Lattice_(discrete_subgroup) wikiPageWikiLink Superrigidity.
- Lattice_(discrete_subgroup) wikiPageWikiLink Topological_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink Tree_(graph_theory).
- Lattice_(discrete_subgroup) wikiPageWikiLink Tree_(mathematics).
- Lattice_(discrete_subgroup) wikiPageWikiLink Tsuneo_Tamagawa.
- Lattice_(discrete_subgroup) wikiPageWikiLink Unimodular_group.
- Lattice_(discrete_subgroup) wikiPageWikiLink File:HeisenbergCayleyGraph.png.
- Lattice_(discrete_subgroup) wikiPageWikiLinkText "Lattice (discrete subgroup)".
- Lattice_(discrete_subgroup) wikiPageWikiLinkText "lattice".
- Lattice_(discrete_subgroup) wikiPageWikiLinkText "lattices".
- Lattice_(discrete_subgroup) wikiPageWikiLinkText "sublattice".
- Lattice_(discrete_subgroup) wikiPageWikiLinkText "uniform subgroup".
- Lattice_(discrete_subgroup) hasPhotoCollection Lattice_(discrete_subgroup).
- Lattice_(discrete_subgroup) wikiPageUsesTemplate Template:Citation.
- Lattice_(discrete_subgroup) wikiPageUsesTemplate Template:Group_theory_sidebar.
- Lattice_(discrete_subgroup) wikiPageUsesTemplate Template:MR.
- Lattice_(discrete_subgroup) subject Category:Algebraic_groups.
- Lattice_(discrete_subgroup) subject Category:Ergodic_theory.
- Lattice_(discrete_subgroup) subject Category:Lie_groups.
- Lattice_(discrete_subgroup) hypernym Subgroup.
- Lattice_(discrete_subgroup) type EthnicGroup.
- 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) 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) wasDerivedFrom Lattice_(discrete_subgroup)?oldid=648705147.
- Lattice_(discrete_subgroup) depiction HeisenbergCayleyGraph.png.
- Lattice_(discrete_subgroup) isPrimaryTopicOf Lattice_(discrete_subgroup).
