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- Paramodular_group abstract "In mathematics, a paramodular group is a special sort of arithmetic subgroup of the symplectic group. It is a generalization of the Siegel modular group, and has the same relation to polarized abelian varieties that the Siegel modular group has to principally polarized abelian varieties. It is the group of automorphisms of Z2n preserving a non-degenerate skew symmetric form. The name \"paramodular group\" is often used to mean one of several standard matrix representations of this group. The corresponding group over the reals is called the parasymplectic group and is conjugate to a (real) symplectic group. A paramodular form is a Siegel modular form for a paramodular group.Paramodular groups were introduced by Conforto (1952) and named by Shimura (1958, section 8).".
- Paramodular_group wikiPageID "44488972".
- Paramodular_group wikiPageLength "5213".
- Paramodular_group wikiPageOutDegree "9".
- Paramodular_group wikiPageRevisionID "683997864".
- Paramodular_group wikiPageWikiLink Abelian_variety.
- Paramodular_group wikiPageWikiLink Arithmetic_group.
- Paramodular_group wikiPageWikiLink Category:Discrete_groups.
- Paramodular_group wikiPageWikiLink Category:Modular_forms.
- Paramodular_group wikiPageWikiLink Henri_Cartan.
- Paramodular_group wikiPageWikiLink Mathematics.
- Paramodular_group wikiPageWikiLink Siegel_modular_form.
- Paramodular_group wikiPageWikiLink Siegel_upper_half-space.
- Paramodular_group wikiPageWikiLink Symplectic_group.
- Paramodular_group wikiPageWikiLinkText "Paramodular group".
- Paramodular_group wikiPageUsesTemplate Template:Citation.
- Paramodular_group wikiPageUsesTemplate Template:Harvtxt.
- Paramodular_group wikiPageUsesTemplate Template:Orphan.
- Paramodular_group subject Category:Discrete_groups.
- Paramodular_group subject Category:Modular_forms.
- Paramodular_group hypernym Sort.
- Paramodular_group type Food.
- Paramodular_group comment "In mathematics, a paramodular group is a special sort of arithmetic subgroup of the symplectic group. It is a generalization of the Siegel modular group, and has the same relation to polarized abelian varieties that the Siegel modular group has to principally polarized abelian varieties. It is the group of automorphisms of Z2n preserving a non-degenerate skew symmetric form. The name \"paramodular group\" is often used to mean one of several standard matrix representations of this group.".
- Paramodular_group label "Paramodular group".
- Paramodular_group sameAs m.012c151k.
- Paramodular_group wasDerivedFrom Paramodular_group?oldid=683997864.
- Paramodular_group isPrimaryTopicOf Paramodular_group.