- #1

Geometry

- 6

- 2

If I have a quadratic form ##q## on a ##\mathbb{R}## vectorial space ##E##, its associated bilinear symmetric form ##b## can be deduce by the following formula : ##b(., .) = \frac{q(. + .) - q(.) - q(.)}{2}##.

**So that, an homogeneous polynomial of degree 2 can be associated to a blinear symmetric form.**

Can we generalize this at a k multilinear symmetric form?

**(I mean associate to an homogeneous polynomial of degree k a k multilinear symmetric form).**

Have a nice day.