Talk:Multilinear form: Difference between revisions

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Disagree with merging with homogeneous polynomial

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]

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 Multilinear forms are defined on products of vector spaces, while [[homogeneous polynomial]]s 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. [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:28, 25 September 2005 (UTC)
 :Every field is a vector space over some field.--[[Special:Contributions/84.161.160.48|84.161.160.48]] ([[User talk:84.161.160.48|talk]]) 16:45, 8 December 2012 (UTC)
+::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.  —[[User_talk:Quondum|Quondum]] 11:54, 17 November 2016 (UTC)