|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
gptkb:Z_2
|
|
gptkbp:centralTo
|
gptkb:Z_2
|
|
gptkbp:compact
|
true
|
|
gptkbp:complexification
|
gptkb:Sp(2n,_C)
|
|
gptkbp:connects
|
true
|
|
gptkbp:definedIn
|
complex numbers
real numbers
|
|
gptkbp:dimensions
|
n(2n+1)
|
|
gptkbp:Dynkin_diagram
|
gptkb:C_n
|
|
gptkbp:field
|
gptkb:mathematics
gptkb:theoretical_physics
|
|
gptkbp:fullName
|
Unitary Symplectic Group
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasSubgroup
|
gptkb:GL(2n,_C)
U(2n)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
USp(2n)
|
|
gptkbp:isCenterless
|
false
|
|
gptkbp:isReductive
|
true
|
|
gptkbp:isSemisimple
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:Lie_algebra
|
usp(2n)
|
|
gptkbp:maximalTorus
|
U(1)^n
|
|
gptkbp:notation
|
gptkb:Sp(n)
gptkb:USp(2n)
|
|
gptkbp:preserves
|
gptkb:Hermitian_form
symplectic form
|
|
gptkbp:rank
|
n
|
|
gptkbp:realForm
|
gptkb:Sp(2n,_C)
gptkb:USp(2n)
|
|
gptkbp:relatedTo
|
gptkb:Sp(2n,_C)
gptkb:Cartan_classification
orthogonal group
symplectic geometry
classical groups
|
|
gptkbp:simplyConnected
|
true
|
|
gptkbp:type
|
gptkb:group_of_people
gptkb:C_n
gptkb:Lie_group
|
|
gptkbp:usedIn
|
gptkb:gauge_theory
gptkb:string_theory
representation theory
|
|
gptkbp:Weyl_group
|
hyperoctahedral group
|
|
gptkbp:bfsParent
|
gptkb:compact_symplectic_group
|
|
gptkbp:bfsLayer
|
6
|