---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "Lie group"
aliases: [Lie groups, Lie theory]
---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- Crash course: <https://people.maths.ox.ac.uk/ritter/lie-groups/Ritter-Lie-Groups-HT2015.pdf#page=5> #resources/notes 
	- [attachments/liegroups.pdf](attachments/liegroups.pdf) #resources/course-notes 
	- <https://ocw.mit.edu/courses/18-769-topics-in-lie-theory-tensor-categories-spring-2009/pages/lecture-notes/> #resources/course-notes 
- Links:
	- [accidental isomorphisms](Unsorted/accidental%20isomorphisms.md)
	- [Unsorted/left invariant vector field](Unsorted/left%20invariant%20vector%20field.md)
	- [linear category](Unsorted/linear%20category.md)
	-  [Unsorted/gimbal lock](Unsorted/gimbal%20lock.md)

---

# Lie group


# ADE classification

![](attachments/Pasted%20image%2020210510214537.png)


## Lie Groups to Lie Algebras

![](attachments/Pasted%20image%2020210901202248.png)

![](attachments/Pasted%20image%2020210901202257.png)

The universal compact lie group is the topological monoid $L(\RR^\infty, \RR^\infty)$ of linear isometric self-embeddings?