Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:appearsIn |
representation theory
theory of Lie groups classification of semisimple Lie algebras |
| gptkbp:associatedLieAlgebra |
sl(8)
|
| gptkbp:CoxeterNumber |
8
|
| gptkbp:crystallographic |
true
|
| gptkbp:dimensions |
7
|
| gptkbp:dualCoxeterNumber |
8
|
| gptkbp:Dynkin_diagram |
gptkb:A_7
|
| gptkbp:highestRoot |
sum of all simple roots
|
| https://www.w3.org/2000/01/rdf-schema#label |
A 7 root system
|
| gptkbp:irreducible |
true
|
| gptkbp:numberOfNegativeRoots |
28
|
| gptkbp:numberOfPositiveRoots |
28
|
| gptkbp:numberOfRoots |
56
|
| gptkbp:rank |
7
|
| gptkbp:relatedTo |
Lie algebra of type A_7
special linear group SL(8) |
| gptkbp:rootLattice |
A_7 root lattice
|
| gptkbp:rootLength |
all roots have the same length
|
| gptkbp:simpleRoots |
7
|
| gptkbp:simplyLaced |
true
|
| gptkbp:type |
gptkb:A_n_root_system
|
| gptkbp:weightLattice |
A_7 weight lattice
|
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_8
|
| gptkbp:bfsParent |
gptkb:A_7
|
| gptkbp:bfsLayer |
8
|