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created: 2023-03-26T11:58
updated: 2023-04-11T10:50
aliases: ["exterior algebra", "contraction", Hodge star]
---

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

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# exterior algebra

![](2023-03-31-8.png)

# Hodge star

![](attachments/Pasted%20image%2020210510011903.png)

Using this to get the [Hodge](Hodge%20theory%20MOC.md) decomposition:

![](2023-03-31-9.png)

# Interior product and Lie derivative

![](2023-03-31-120.png)

See [Poisson structure](Poisson%20structure.md)