Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:application |
gptkb:geometry
computer vision cryptography physics robotics |
| gptkbp:category |
Lie group (for real or complex fields)
|
| gptkbp:contains |
translations
linear transformations |
| gptkbp:defines |
group of all invertible affine transformations of an affine space
|
| gptkbp:dimensions |
depends on n and field K
|
| gptkbp:field |
gptkb:Field
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
affine group
|
| gptkbp:matrixRepresentation |
block matrix
|
| gptkbp:notation |
Aff(n, K)
|
| gptkbp:order |
infinite (for infinite fields)
|
| gptkbp:preserves |
parallelism
collinearity |
| gptkbp:relatedTo |
gptkb:Euclidean_group
projective group similarity group |
| gptkbp:structure |
semidirect product
|
| gptkbp:bfsParent |
gptkb:Euclidean_group
gptkb:affine_reflection_group gptkb:inhomogeneous_orthogonal_group |
| gptkbp:bfsLayer |
6
|