|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:centralTo
|
cyclic group of order 4
|
|
gptkbp:complexification
|
SL(4, C)
|
|
gptkbp:definedIn
|
complex numbers
|
|
gptkbp:dimensions
|
15
|
|
gptkbp:fullName
|
Special Unitary Group of degree 4
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
gptkbp:generation
|
traceless anti-Hermitian 4×4 matrices
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasIrreducibleRepresentations
|
yes
|
|
gptkbp:hasSubgroup
|
U(4)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SU(4)
|
|
gptkbp:Lie_algebra
|
su(4)
|
|
gptkbp:maximalTorus
|
U(1) × U(1) × U(1)
|
|
gptkbp:notation
|
gptkb:SU(4)
|
|
gptkbp:orderOfCenter
|
4
|
|
gptkbp:rank
|
3
|
|
gptkbp:realForm
|
gptkb:SU(4)
SL(4, C)
|
|
gptkbp:relatedTo
|
orthogonal group
A3 (Dynkin diagram)
A3 Lie algebra
PSU(4)
SL(4, C)
SO(6)
Spin(6)
unitary group U(4)
|
|
gptkbp:type
|
gptkb:group_of_people
gptkb:Lie_group
classical group
|
|
gptkbp:usedIn
|
gptkb:theoretical_physics
particle physics
representation theory
|
|
gptkbp:bfsParent
|
gptkb:N=4_supersymmetric_Yang-Mills_theory
gptkb:N=4_supersymmetry
gptkb:N=4_super_Yang-Mills_theory
|
|
gptkbp:bfsLayer
|
6
|