Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
lattice |
| gptkbp:automorphismGroup |
gptkb:GL(n,Z)
|
| gptkbp:basisFor |
standard basis vectors
|
| gptkbp:containsElement |
n-tuples of integers
|
| gptkbp:definedIn |
gptkb:n-dimensional_Euclidean_space
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
n
|
| gptkbp:discreteSubgroupOf |
R^n
|
| gptkbp:fullRankLattice |
true
|
| gptkbp:groupUnder |
vector addition
|
| gptkbp:heldBy |
canonical example of a lattice
free abelian group of rank n set of all vectors (x1, ..., xn) with xi in Z |
| https://www.w3.org/2000/01/rdf-schema#label |
integer lattice Z^n
|
| gptkbp:rank |
n
|
| gptkbp:usedIn |
gptkb:geometry_of_numbers
coding theory cryptography number theory combinatorics |
| gptkbp:bfsParent |
gptkb:SL(n,Z)
|
| gptkbp:bfsLayer |
6
|