|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:actsOn
|
gptkb:Euclidean_space
|
|
gptkbp:application
|
computer graphics
crystallography
physics
quantum mechanics
robotics
molecular chemistry
|
|
gptkbp:containsElement
|
gptkb:Euler_angles
gptkb:axis-angle_representation
rotation matrix
quaternion
|
|
gptkbp:defines
|
the group of all rotations about the origin of a Euclidean space
|
|
gptkbp:dimensions
|
n(n-1)/2
|
|
gptkbp:field
|
gptkb:geometry
gptkb:mathematics
group theory
|
|
gptkbp:generation
|
infinitesimal rotations
|
|
gptkbp:hasInvariant
|
gptkb:region
origin
orientation
Angle
|
|
gptkbp:hasSpecialCase
|
gptkb:SO(2)
gptkb:SO(3)
|
|
gptkbp:hasSubgroup
|
orthogonal group
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
rotation group
|
|
gptkbp:notation
|
gptkb:SO(n)
|
|
gptkbp:order
|
infinite
|
|
gptkbp:preserves
|
inner product
length
orientation
|
|
gptkbp:property
|
gptkb:Lie_group
compact group
connected group
non-abelian for n > 2
|
|
gptkbp:relatedConcept
|
gptkb:symmetry
gptkb:isometry_group
orthogonal group
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:Lorentz_group
orthogonal group
point group
group representation
projective group
symmetry operations
|
|
gptkbp:structure
|
gptkb:group_of_people
gptkb:Lie_group
simple group for n > 2
|
|
gptkbp:bfsParent
|
gptkb:Lie_group
gptkb:Lie_groups
gptkb:orthogonal_group
|
|
gptkbp:bfsLayer
|
5
|