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date: 2023-03-11 01:38
aliases: ["Hermitian form", "U_n"]
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Last modified: `=this.file.mday`

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# Hermitian form

- Can choose a basis $\left(e_1, \ldots, e_p, e_{p+1}, \ldots, e_{p+q}\right)$ of $V$ such that $h$ is of the form $$h(z, w)=\sum_{i=1}^p z_i \bar{w}_i-\sum_{j=1}^q z_{j+p} \bar{w}_{j+p} .$$
![](attachments/2023-03-14herm.png)

![](attachments/2023-03-14hermspace.png)