E n root lattice (for n=6,7,8)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:basisFor |
simple roots of E_n
|
| gptkbp:class |
gptkb:Weyl_group
|
| gptkbp:contains |
gptkb:D_n_root_lattice
|
| gptkbp:dimensions |
6
7 8 |
| gptkbp:hasProperty |
unimodular (for E_8)
even lattice self-dual (for E_8) |
| https://www.w3.org/2000/01/rdf-schema#label |
E n root lattice (for n=6,7,8)
|
| gptkbp:integral_lattice |
yes
|
| gptkbp:namedAfter |
E_n Lie algebra
|
| gptkbp:notableExample |
gptkb:E_8_root_lattice
|
| gptkbp:relatedTo |
gptkb:E_8_root_lattice
Dynkin diagram E_n E_6 root lattice E_7 root lattice |
| gptkbp:usedIn |
coding theory
sphere packing Lie algebra theory |
| gptkbp:bfsParent |
gptkb:D_n_root_lattice
|
| gptkbp:bfsLayer |
6
|