---
date: 2022-05-26 17:20
modification date: Thursday 26th May 2022 17:20:59
title: "weyl character formula"
aliases: [weyl character formula, Weyl dimension formula, highest weight theorem]
---

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

---

- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [SO3](Unsorted/SO3.md)
	- [[SU2]]
	- [[Unsorted/fundamental representations]]

---

# Highest weight theorem

![](attachments/Pasted%20image%2020220526172146.png)

# weyl character formula

![](attachments/Pasted%20image%2020220531034648.png)

![](attachments/Pasted%20image%2020220526172106.png)

# Weyl dimension formula

![](attachments/Pasted%20image%2020220526172129.png)

Hard to use, see [[Konstant's theorem]] and [[Steinberg's theorem]]
![](attachments/Pasted%20image%2020220526172337.png)