Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
{1, e1, e2, e1e2}
|
| gptkbp:centralTo |
real numbers
|
| gptkbp:contains |
even subalgebra
|
| gptkbp:dimensions |
4
|
| gptkbp:evenSubalgebraIsomorphicTo |
complex numbers
|
| gptkbp:field |
real numbers
|
| gptkbp:generation |
e1
e2 |
| https://www.w3.org/2000/01/rdf-schema#label |
Clifford algebra Cl(2)
|
| gptkbp:isomorphicTo |
quaternions
|
| gptkbp:loveInterest |
e1^2 = 1
e1e2 = -e2e1 e2^2 = 1 |
| gptkbp:signature |
(2,0)
|
| gptkbp:usedIn |
gptkb:spinor_theory
gptkb:geometry physics |
| gptkbp:bfsParent |
gptkb:Clifford_algebra_Cl(10)
|
| gptkbp:bfsLayer |
8
|