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by Ciro Santilli (@cirosantilli, 37)

Hermitian form

 ... Area of mathematics Algebra Linear algebra Linear map Multilinear map Symmetric bilinear map
 0 By others on same topic  0 Discussions  Updated 2025-05-13  +Created 1970-01-01  See my version
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, it satisfies:
<x,y>=<y,x>​
(1)
where the over bar indicates the complex conjugate, nor is it linear for complex scalar multiplication on the second argument.
Bibliography:
  • mathworld.wolfram.com/HermitianForm.html
  • Table of contents
    • Matrix representation of a Hermitian form Hermitian form

Matrix representation of a Hermitian form

 0  0 
Hermitian form
;
A Hermitian matrix.

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