This article is rated C-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects:

Mathematics Mid‑priority This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles Mid This article has been rated as Mid-priority on the project's priority scale.

Multilinear forms are defined on products of vector spaces, while homogeneous polynomials are in general defined on products of fields. Also multilinear forms are linear in each of its arguments, while homogeneous polynomials not necessarily. As such, they are two different animals. Oleg Alexandrov 01:28, 25 September 2005 (UTC) reply

Every field is a vector space over some field.-- 84.161.160.48 ( talk) 16:45, 8 December 2012 (UTC) reply

So what are you arguing? The intersection between the two seems to be the linear homogeneous polynomials of degree 1. This is only a not-so-interesting subset of each. I see no case to merge. — Quondum 11:54, 17 November 2016 (UTC) reply

As mentioned above. Dominic3203 ( talk) 10:34, 9 February 2019 (UTC) reply

I think so. Linear forms are certainly an example and a starting point, even if it's one that doesn't have the features of the general case. There should at least be a link, if not a short section. Alsosaid1987 ( talk) 19:48, 9 February 2019 (UTC) reply

This article has a very long discussion of differential forms under the header Examples. However, differential forms are not an example of a multilinear form. Mathwriter2718 ( talk) 13:23, 11 July 2024 (UTC) reply