Composition algebra
id:
composition-algebra-166-1715056
title:
Composition algebra
text:
In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies
- N ( x y ) = N ( x ) N ( y ) for all x and y in A. A composition algebra includes an involution called a conjugation: x ↦ x ∗. The quadratic form N ( x ) = x x ∗ is called the norm of the algebra. A composition algebra (A, ∗, N) is either a division algebra or a split algebra, depending on the existence of a non-zero v in A such t
brand slug:
wiki
category slug:
encyclopedia
description:
Type of algebras, possibly non associative
original url:
https://en.wikipedia.org/wiki/Composition_algebra
date created:
2006-01-27T07:18:10Z
date modified:
2024-08-29T21:33:08Z
main entity:
{"identifier":"Q2835957","url":"https://www.wikidata.org/entity/Q2835957"}
image:
fields total:
13
integrity:
15