Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
lattice (mathematics) |
| gptkbp:automorphismGroup |
gptkb:Weyl_group_of_type_D_n
|
| gptkbp:basisVectors |
vectors with integer coordinates whose sum is even
|
| gptkbp:contains |
gptkb:A_{n-1}_root_lattice
|
| gptkbp:definedIn |
n ≥ 3
|
| gptkbp:dimensions |
n
|
| gptkbp:dualLattice |
gptkb:D_n^*_lattice
|
| gptkbp:evenLattice |
true
|
| gptkbp:generatorMatrix |
rows of form (±1, ±1, 0, ..., 0)
|
| gptkbp:hasSpecialCase |
D_4 root lattice isomorphic to F_4 root lattice
|
| https://www.w3.org/2000/01/rdf-schema#label |
D n root lattice
|
| gptkbp:integralLattice |
true
|
| gptkbp:kissingNumber |
2n(n-1)
|
| gptkbp:minimalVectors |
2n(n-1) vectors of form (±1, ±1, 0, ..., 0)
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:D_n_Lie_algebra
gptkb:D_n_root_system gptkb:E_n_root_lattice_(for_n=6,7,8) |
| gptkbp:spherePackingDensity |
high for small n
|
| gptkbp:unimodular |
false
|
| gptkbp:usedIn |
gptkb:Lie_theory
coding theory sphere packing |
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|