inhomogeneous orthogonal group
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:alsoKnownAs |
gptkb:Euclidean_group
|
| gptkbp:consistsOf |
translations
rotations |
| gptkbp:dimensions |
n
|
| gptkbp:extendsTo |
orthogonal group
translation group |
| gptkbp:hasComponent |
gptkb:orthogonal_group_O(n)
translation group T(n) |
| gptkbp:hasSubgroup |
gptkb:affine_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
inhomogeneous orthogonal group
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:notation |
E(n)
|
| gptkbp:structure |
semidirect product of O(n) and T(n)
|
| gptkbp:usedIn |
gptkb:geometry
crystallography physics |
| gptkbp:bfsParent |
gptkb:Poincaré_symmetry
|
| gptkbp:bfsLayer |
5
|