Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Weyl_group
lattice (mathematics) |
gptkbp:basisFor |
difference of standard basis vectors in R^{n+1}
|
gptkbp:determinant |
n+1
|
gptkbp:dimensions |
n
|
gptkbp:dualLattice |
gptkb:A_n^*_lattice
|
gptkbp:generation |
roots of A_n root system
|
gptkbp:hasSubgroup |
gptkb:Euclidean_space
|
https://www.w3.org/2000/01/rdf-schema#label |
A n root lattice
|
gptkbp:isEvenLattice |
false
|
gptkbp:isIntegralLattice |
true
|
gptkbp:isUnimodular |
false
|
gptkbp:namedAfter |
gptkb:A_series_in_Cartan–Killing_classification
|
gptkbp:rank |
n
|
gptkbp:relatedTo |
gptkb:A_n_root_system
gptkb:SU(n+1)_Lie_group gptkb:simple_Lie_algebra_of_type_A_n |
gptkbp:symmetry |
gptkb:Weyl_group_of_type_A_n
|
gptkbp:usedIn |
crystallography
sphere packing Lie algebra theory |
gptkbp:bfsParent |
gptkb:Weyl_group
|
gptkbp:bfsLayer |
5
|