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gptkbp:instanceOf
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gptkb:group_of_people
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gptkbp:application
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gptkb:algebraic_geometry
gptkb:classical_mechanics
number theory
quantum mechanics
representation theory
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gptkbp:definedIn
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field F
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gptkbp:dimensions
|
n(2n+1)
|
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gptkbp:example
|
gptkb:Sp(2,_R)
gptkb:Sp(4,_C)
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gptkbp:field
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gptkb:mathematics
|
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gptkbp:finiteSubgroup
|
finite symplectic group
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|
gptkbp:hasSubfield
|
group theory
symplectic geometry
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|
https://www.w3.org/2000/01/rdf-schema#label
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symplectic groups
|
|
gptkbp:infiniteSubgroup
|
gptkb:infinite_symplectic_group
|
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gptkbp:notation
|
gptkb:Sp(2n,_F)
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gptkbp:preserves
|
symplectic form
|
|
gptkbp:property
|
connected (over C)
non-compact (over R)
simple Lie group (for n>1)
|
|
gptkbp:relatedTo
|
gptkb:Hamiltonian_mechanics
gptkb:Lie_groups
gptkb:metaplectic_group
gptkb:symplectic_Lie_algebra
gptkb:symplectic_similitude_group
gptkb:orthogonal_groups
gptkb:unitary_groups
gptkb:Siegel_modular_group
gptkb:symplectic_group_over_algebraic_closure
gptkb:symplectic_group_over_complex_numbers
gptkb:symplectic_group_over_finite_field
gptkb:symplectic_group_over_integers
gptkb:symplectic_group_over_local_field
gptkb:symplectic_group_over_p-adic_numbers
gptkb:symplectic_group_over_quaternions
gptkb:symplectic_group_over_rationals
gptkb:symplectic_group_over_real_numbers
gptkb:symplectic_matrix
gptkb:symplectic_transformation
modular forms
automorphic forms
symplectic manifold
symplectic structure
classical groups
symplectic vector space
symplectic basis
symplectic representation
|
|
gptkbp:bfsParent
|
gptkb:Bott_periodicity_theorem
|
|
gptkbp:bfsLayer
|
6
|