Split-quaternion
id:
split-quaternion-172-15890806
title:
Split-quaternion
text:
In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They form an associative algebra of dimension four over the real numbers. After introduction in the 20th century of coordinate-free definitions of rings and algebras, it was proved that the algebra of split-quaternions is isomorphic to the ring of the 2×2 real matrices. So the study of split-quaternions can be reduced to the study of real matrices, and
brand slug:
wiki
category slug:
encyclopedia
description:
Four-dimensional associative algebra over the reals
original url:
https://en.wikipedia.org/wiki/Split-quaternion
date created:
2005-02-03T02:18:49Z
date modified:
2024-09-01T22:55:55Z
main entity:
{"identifier":"Q2996919","url":"https://www.wikidata.org/entity/Q2996919"}
image:
fields total:
13
integrity:
15