Correspondence between quadratic forms and symmetric bilinear forms away from 2

Away from 2 every Quadratic form is associated with a symmetric Bilinear form via polarization

and vice versa by . #m/thm/general

Proof

Let be a quadratic form and choose to be symmetric. It follows

Similarly for any bilinear form , one can derive a quadratic form from . Clearly these processes are inverses of each other.

#state/tidy | #lang/en | #SemBr