Quaternion algebra
id:
quaternion-algebra-318-15876859
title:
Quaternion algebra
text:
In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes a matrix algebra by extending scalars, i.e. for a suitable field extension K of F, A ⊗ F K is isomorphic to the 2 × 2 matrix algebra over K. The notion of a quaternion algebra can be seen as a generalization of Hamilton's quaternions to an arbitrary base field. The Hamilton quaternions are a quaternion algebra over F = R , and indeed the only one
brand slug:
wiki
category slug:
encyclopedia
description:
Generalization of quaternions to other fields
original url:
https://en.wikipedia.org/wiki/Quaternion_algebra
date created:
date modified:
2024-02-21T15:42:51Z
main entity:
{"identifier":"Q2835967","url":"https://www.wikidata.org/entity/Q2835967"}
image:
fields total:
13
integrity:
14