Statements (25)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
gptkbp:actsOn |
gptkb:Euclidean_space
|
gptkbp:contains |
gptkb:orthogonal_group_O(n)
reflection rotation glide reflection translation group R^n |
gptkbp:dimensions |
n(n+1)/2
|
gptkbp:hasNormalSubgroup |
translation group R^n
|
gptkbp:hasSubgroup |
gptkb:affine_group_of_R^n
|
https://www.w3.org/2000/01/rdf-schema#label |
Isometry group of R^n
|
gptkbp:identityElement |
identity isometry
|
gptkbp:isClosedUnder |
musical composition
inversion |
gptkbp:isomorphicTo |
O(n) ⋉ R^n
|
gptkbp:isQuotientOf |
O(n)
|
gptkbp:isTransitiveOn |
R^n
|
gptkbp:notation |
E(n)
|
gptkbp:originatedIn |
gptkb:geometry
crystallography physics |
gptkbp:preserves |
Euclidean distance
|
gptkbp:bfsParent |
gptkb:ISO(n)
|
gptkbp:bfsLayer |
7
|