Source: cirosantilli/hermitian-form

= Hermitian form
{c}
{wiki}

The <complex number> analogue of a <symmetric bilinear form>.

The prototypical example of it is the <complex dot product>.

Note that this form is neither strictly <symmetric bilinear map>[symmetric], it satisfies:
$$
<x, y> = \overline{<y, x>}
$$
where the over bar indicates the <complex conjugate>, nor is it linear for complex scalar multiplication on the second argument.

Bibliography:
* https://mathworld.wolfram.com/HermitianForm.html

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