Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:actsOn |
5-dimensional Euclidean space
|
| gptkbp:associatedWith |
root system of type D5
|
| gptkbp:centralTo |
gptkb:Z/4Z
|
| gptkbp:CoxeterGroupType |
gptkb:D5
|
| gptkbp:Dynkin_diagram |
D5 diagram
|
| gptkbp:generation |
reflections
|
| gptkbp:hasSubgroup |
Weyl group of type Dn for n>5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl group of type D5
|
| gptkbp:isomorphicTo |
(Z/2Z)^4 ⋊ S_5
|
| gptkbp:isRealizedAs |
even signed permutations of 5 elements
|
| gptkbp:numberOfConjugacyClasses |
25
|
| gptkbp:numberOfReflections |
40
|
| gptkbp:numberOfSimpleReflections |
5
|
| gptkbp:order |
1920
|
| gptkbp:rank |
5
|
| gptkbp:relatedTo |
gptkb:special_orthogonal_group_SO(10)
|
| gptkbp:bfsParent |
gptkb:SO(10,C)
|
| gptkbp:bfsLayer |
7
|