Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
lattice |
| gptkbp:automorphismGroup |
Weyl group of type A_{n-1}
|
| gptkbp:basisFor |
difference of standard basis vectors
|
| gptkbp:builtBy |
gptkb:A_{n-1}_root_system
|
| gptkbp:describes |
lattice of integer vectors in R^n whose coordinates sum to zero
|
| gptkbp:dimensions |
n-1
|
| gptkbp:dualLattice |
A_{n-1} weight lattice
|
| gptkbp:evenLattice |
false
|
| gptkbp:generation |
roots of A_{n-1} root system
|
| gptkbp:hasSubgroup |
R^n
|
| https://www.w3.org/2000/01/rdf-schema#label |
A {n-1} root lattice
|
| gptkbp:integralLattice |
true
|
| gptkbp:notation |
A_{n-1}
|
| gptkbp:rank |
n-1
|
| gptkbp:relatedTo |
simple Lie algebra of type A_{n-1}
|
| gptkbp:unimodular |
false
|
| gptkbp:usedIn |
gptkb:Lie_theory
crystallography representation theory lattice theory |
| gptkbp:bfsParent |
gptkb:D_n_root_lattice
|
| gptkbp:bfsLayer |
6
|