Multilinear form
id:
multilinear-form-259-15755435
title:
Multilinear form
text:
In abstract algebra and multilinear algebra, a multilinear form on a vector space V over a field K is a map that is separately K -linear in each of its k arguments. More generally, one can define multilinear forms on a module over a commutative ring. The rest of this article, however, will only consider multilinear forms on finite-dimensional vector spaces. A multilinear k -form on V over R is called a (covariant) k -tensor, and the vector space of such forms is usually denoted T k or L k .
brand slug:
wiki
category slug:
encyclopedia
description:
Map from multiple vectors to an underlying field of scalars, linear in each argument
original url:
https://en.wikipedia.org/wiki/Multilinear_form
date created:
date modified:
2024-01-15T15:18:56Z
main entity:
{"identifier":"Q1930346","url":"https://www.wikidata.org/entity/Q1930346"}
image:
fields total:
13
integrity:
14