gptkbp:instanceOf
|
gptkb:group_of_people
|
gptkbp:actsOn
|
gptkb:conformal_geometry
|
gptkbp:application
|
gptkb:general_relativity
gptkb:quantum_field_theory
differential geometry
|
gptkbp:dimensions
|
depends on underlying space
|
gptkbp:field
|
gptkb:mathematics
gptkb:theoretical_physics
|
gptkbp:finite-dimensional_for
|
dimension greater than 2
|
gptkbp:generalizes
|
gptkb:Poincaré_group
orthogonal group
|
https://www.w3.org/2000/01/rdf-schema#label
|
conformal group
|
gptkbp:importantFor
|
gptkb:quantum_field_theory
gptkb:string_theory
complex analysis
|
gptkbp:includes
|
translations
rotations
dilations
special conformal transformations
|
gptkbp:infinite-dimensional_for
|
2 dimensions
|
gptkbp:notation
|
gptkb:SO(p+1,q+1)
Conf(n)
|
gptkbp:preserves
|
angles
conformal structure
|
gptkbp:relatedTo
|
gptkb:Lie_group
gptkb:Möbius_transformations
projective group
|
gptkbp:studiedBy
|
gptkb:Sophus_Lie
gptkb:Élie_Cartan
|
gptkbp:bfsParent
|
gptkb:Poincaré_group
gptkb:conformal_geometry
gptkb:conformal_invariance
gptkb:conformal_symmetry
gptkb:Conformal_field_theory
|
gptkbp:bfsLayer
|
6
|