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Paramodular group

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…

Explicit matrices for the paramodular group, The paramodular group of degree 2 & Overview

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Explicit matrices for the paramodular group

MatricesIntegersRationalsGeneral linear groupDiagonal matrix
7 related topics

The paramodular group of degree 2

IsomorphismGenerated
2 related topics

Overview

MathematicsArithmetic subgroupSymplectic groupSiegel modular groupAbelian varieties
10 related topics

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Explicit matrices for the paramodular group

The paramodular group of degree 2

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Paramodular group

Nodes23
Edges22
Triples14
Avg. degree1.91
Density0.086957
Components1

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Paramodular group

Top relations

related to The paramodular group of degree 2 · 7
Paramodular group → Any, GL4, Paramodular, Sp4, There, This, Z4
related to Explicit matrices for the paramodular group · 5
Paramodular group → Any, In, There, These, Z2n
is a · 2
Paramodular group → special sort of arithmetic subgroup of the symplectic group, subgroup of the usual symplectic group

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group paramodular symplectic matrices form matrix integers one conjugate consists subgroup skew-symmetric siegel modular entries z2n preserving non-degenerate often used

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Paramodular groupis aspecial sort of arithmetic subgroup of the symplectic group0.90text
Paramodular groupis asubgroup of the usual symplectic group0.90text
Paramodular grouprelated to Explicit matrices for the paramodular groupThere0.60section
Paramodular grouprelated to Explicit matrices for the paramodular groupIn0.60section
Paramodular grouprelated to Explicit matrices for the paramodular groupThese0.60section
Paramodular grouprelated to Explicit matrices for the paramodular groupAny0.60section
Paramodular grouprelated to Explicit matrices for the paramodular groupZ2n0.60section
Paramodular grouprelated to The paramodular group of degree 2Paramodular0.60section
Paramodular grouprelated to The paramodular group of degree 2GL40.60section
Paramodular grouprelated to The paramodular group of degree 2There0.60section
Paramodular grouprelated to The paramodular group of degree 2This0.60section
Paramodular grouprelated to The paramodular group of degree 2Sp40.60section

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