---
date: 2022-05-26 16:43
modification date: Thursday 26th May 2022 16:43:24
title: "Weyl complete reducibility"
aliases: [Weyl complete reducibility, Weyl unitary trick]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---

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

---

# Weyl's complete reducibility

![](attachments/Pasted%20image%2020220526164326.png)

Using averaging:
![](attachments/Pasted%20image%2020220526165212.png)
# Weyl's unitary trick

![](attachments/Pasted%20image%2020220526164617.png)