Frobenius theorem (real division algebras)
id:
frobenius-theorem-real-division-algebras-182-8750876
title:
Frobenius theorem (real division algebras)
text:
In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite-dimensional associative division algebras over the real numbers. According to the theorem, every such algebra is isomorphic to one of the following:
- R
- C
- H. These algebras have real dimension 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in abstract algebra
original url:
https://en.wikipedia.org/wiki/Frobenius_theorem_(real_division_algebras)
date created:
2006-02-05T12:02:32Z
date modified:
2024-09-06T06:31:58Z
main entity:
{"identifier":"Q1361031","url":"https://www.wikidata.org/entity/Q1361031"}
image:
fields total:
13
integrity:
15