Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
lattice (mathematics)
|
| gptkbp:automorphismGroup |
gptkb:Weyl_group_of_E_8
|
| gptkbp:basis_vectors |
8
|
| gptkbp:dimensions |
8
|
| gptkbp:discoveredBy |
gptkb:Thorold_Gosset
|
| gptkbp:discoveredIn |
1900
|
| https://www.w3.org/2000/01/rdf-schema#label |
E 8 root lattice
|
| gptkbp:is_even |
true
|
| gptkbp:is_even_unimodular_lattice |
true
|
| gptkbp:is_integral |
true
|
| gptkbp:is_positive_definite |
true
|
| gptkbp:is_self-dual |
true
|
| gptkbp:is_unimodular |
true
|
| gptkbp:kissing_number |
240
|
| gptkbp:lattice_determinant |
1
|
| gptkbp:minimal_norm |
2
|
| gptkbp:number_of_minimal_vectors |
240
|
| gptkbp:rank |
8
|
| gptkbp:relatedTo |
gptkb:Niemeier_lattices
gptkb:exceptional_Lie_groups gptkb:E_8_Lie_algebra gptkb:Leech_lattice gptkb:octonions modular forms |
| gptkbp:sphere_packing_density |
highest in 8 dimensions
|
| gptkbp:type |
gptkb:E_8
|
| gptkbp:used_in |
gptkb:string_theory
coding theory mathematical physics sphere packing |
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|