---
title: "Mackey functor"
aliases: [Mackey functor, Green functor]
created: 2022-04-10T00:33
updated: 2023-04-02T12:00
---

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [group cohomology](Unsorted/group%20cohomology.md)

---

Main example: group cohomology, along with restriction, corestriction (transfer), and conjugation, compresises a Green functor.


# Mackey functor

![](attachments/2023-01-23-mackey.png)
![](attachments/2023-01-23-mackey2.png)
![](attachments/2023-01-23-mackey-3.png)

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![](attachments/Pasted%20image%2020220425092036.png)
![](attachments/Pasted%20image%2020220510190858.png)

![](attachments/Pasted%20image%2020220425092109.png)

![](attachments/Pasted%20image%2020220410004049.png)

![](attachments/Pasted%20image%2020220410003347.png)
![](attachments/Pasted%20image%2020220410003558.png)
![](attachments/Pasted%20image%2020220410003618.png)

![](attachments/Pasted%20image%2020220510190219.png)

# In group cohomology

![](attachments/Pasted%20image%2020220510190951.png)
![](attachments/Pasted%20image%2020220510191003.png)