Definition:Lipschitz Quaternion

Definition

A Lipschitz quaternion is a quaternion whose components are all integers.

The set $\Bbb L$ of all Lipschitz quaternions can therefore be defined as:

$\Bbb L = \set {a + b \mathbf i + c \mathbf j + d \mathbf k \in \H: a, b, c, d \in \Z}$

Also see

• Definition:Gaussian Integer
• Definition:Hurwitz Quaternion

Source of Name

This entry was named for Rudolf Otto Sigismund Lipschitz.