|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:actsOn
|
complex vector spaces
symplectic vector spaces
|
|
gptkbp:alsoKnownAs
|
unitary symplectic group
|
|
gptkbp:appearsIn
|
gptkb:gauge_theory
quantum mechanics
theory of symmetric spaces
|
|
gptkbp:centralTo
|
cyclic group of order 2
|
|
gptkbp:definedIn
|
complex numbers
real numbers
|
|
gptkbp:dimensions
|
n(2n+1)
|
|
gptkbp:hasSubgroup
|
gptkb:general_linear_group
gptkb:orthogonal_group
|
|
gptkbp:heldBy
|
gptkb:group_of_people
gptkb:Lie_group
gptkb:classical_group
gptkb:non-abelian_group
reductive group
connected Lie group
simply connected group
|
|
gptkbp:Lie_algebra
|
compact symplectic Lie algebra
|
|
gptkbp:maximal_compact_subgroup_of
|
gptkb:symplectic_group_over_complex_numbers
|
|
gptkbp:preserves
|
symplectic form
|
|
gptkbp:relatedTo
|
mathematical physics
representation theory
symplectic geometry
|
|
gptkbp:symbol
|
gptkb:USp(2n)
|
|
gptkbp:bfsParent
|
gptkb:symplectic_group_Sp(n)
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
compact symplectic group
|