Symmetric algebra
id:
symmetric-algebra-309-4084937
title:
Symmetric algebra
text:
In mathematics, the symmetric algebra S(V) on a vector space V over a field K is a commutative algebra over K that contains V, and is, in some sense, minimal for this property. Here, "minimal" means that S(V) satisfies the following universal property: for every linear map f from V to a commutative algebra A, there is a unique algebra homomorphism g : S(V) → A such that f = g ∘ i, where i is the inclusion map of V in S(V). If B is a basis of V, the symmetric algebra S(V) can be identified, throu
brand slug:
wiki
category slug:
encyclopedia
description:
"Smallest" commutative algebra that contains a vector space
original url:
https://en.wikipedia.org/wiki/Symmetric_algebra
date created:
date modified:
2024-01-31T13:17:07Z
main entity:
{"identifier":"Q1052674","url":"https://www.wikidata.org/entity/Q1052674"}
image:
fields total:
13
integrity:
14