Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:actsOn |
gptkb:E8_root_system
|
| gptkbp:associatedWith |
gptkb:E8_Lie_algebra
|
| gptkbp:generation |
8 simple reflections
|
| gptkbp:hasConjugacyClasses |
112
|
| gptkbp:hasIrreducibleRepresentations |
112
|
| gptkbp:hasSubgroup |
Automorphism group of E8 root lattice
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl group of E8
|
| gptkbp:isCoxeterGroup |
true
|
| gptkbp:isFinite |
true
|
| gptkbp:isRealizedAs |
matrix group in 8 dimensions
|
| gptkbp:isReflectionGroup |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:isTransitiveOnRoots |
true
|
| gptkbp:order |
696729600
|
| gptkbp:presentedBy |
Coxeter presentation
|
| gptkbp:rank |
8
|
| gptkbp:relatedTo |
gptkb:E8_lattice
gptkb:E8_Dynkin_diagram |
| gptkbp:type |
exceptional Lie type
|
| gptkbp:usedIn |
gptkb:Lie_theory
gptkb:algebraic_geometry gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:E8_lattice
gptkb:Conway's_icosian_lattice |
| gptkbp:bfsLayer |
6
|