Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
The dual lattice of a lattice L in a vector space V is the set of all vectors in V whose inner product with every vector in L is an integer.
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics lattice theory |
| https://www.w3.org/2000/01/rdf-schema#label |
dual lattice
|
| gptkbp:notation |
L*
|
| gptkbp:property |
If L is unimodular, then L equals its dual lattice.
The dual of the dual lattice is the original lattice. If L is a lattice, then its dual lattice L* is also a lattice. If L is integral, then L is contained in its dual lattice. |
| gptkbp:relatedTo |
lattice
|
| gptkbp:usedIn |
coding theory
crystallography modular forms number theory |
| gptkbp:bfsParent |
gptkb:Lattices
|
| gptkbp:bfsLayer |
7
|