Hi, everyone:(adsbygoogle = window.adsbygoogle || []).push({});

There are standard ways of representing linear and bilinear maps.

between (fin. dim) vector spaces, after choosing a basis .Linear maps

are represented by columns T(vi) , for a basis {v1,...,vn} (assume B

defined on VxV ), bilinear maps B(x,y) with the matrix Bij=(B(ei,ej))

Is there a way of representing 3-linear, 4-linear, etc. maps with

matrices?. I have played around with matrices T(ei,ej,ek), but

I cannot see how to get a real number as a product of 3 matrices.

Any ideas?.

P.S: I don't know how to setup the spacing.In this forum I was asked

to not leave spacing. In other forums, people complain when I don't

leave spacing, because the lack of spaces force them to strain their

eyes ( where they also complain about how kids today don't understand

music, and about how Frank Sinatra was the last good singer. They also

talk about Selzer water Melba toast, and that hot new comedian Red Skelton.

. Maybe this last explains it )

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# Multilinear maps. Extensions.

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