Hurwitz quaternions

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
lattice
order in quaternion algebra
gptkbp:closed addition
multiplication
conjugation
gptkbp:contains gptkb:Lipschitz_quaternions
gptkbp:dimensions 4
gptkbp:form lattice in R^4
maximal order in Hamiltonian quaternions
non-commutative ring
gptkbp:hasElementForm a + bi + cj + dk (a, b, c, d in Z or all in Z + 1/2, sum even)
gptkbp:hasSubgroup quaternions
gptkbp:hasUnitGroup gptkb:binary_tetrahedral_group
https://www.w3.org/2000/01/rdf-schema#label Hurwitz quaternions
gptkbp:namedAfter gptkb:Adolf_Hurwitz
gptkbp:relatedTo gptkb:octonions
gptkb:integer_quaternions
gptkbp:usedIn gptkb:algebra
number theory
sphere packing
gptkbp:bfsParent gptkb:Hurwitz_quaternion_order
gptkbp:bfsLayer 6