Linked Questions

16
votes
6answers
2k views

Getting started with Lie Groups

I am looking for some material (e.g. references, books, notes) to get started with Lie Groups and Lie Algebra. My motivation is that I (eventually) want to understand the theory underpinning papers ...
13
votes
2answers
1k views

Where does a Topology student go after Munkres?

Firstly I apologize if this is a bit of a soft question, it's hard for me to ask this quite concretely so I do apologize if this post doesn't seem like I'm asking something immediately. Let me ...
12
votes
3answers
354 views

Why are skew-symmetric matrices of interest?

I am currently following a course on nonlinear algebra (topics include varieties, elimination, linear spaces, grassmannians etc.). Especially in the exercises we work a lot with skew-symmetric ...
3
votes
4answers
368 views

Infinite group theory recommendations

What is a good book to start a journey in the field of infinite group theory ? I have already taken a first course in algebra where we studied the most important (finite) algebraic structures and I'm ...
4
votes
2answers
1k views

Local Isomorphism on Topological Groups

I'm currently studying Lie Groups, and reading "Theory of Lie Groups I" by C. Chevalley. He talks about topological groups in chapter two. To be more precise, on page 38 he presents two examples in ...
2
votes
3answers
386 views

Groups as symmetries, and question about Lie groups

I am just starting out learning about group theory (so perhaps looking at Lie groups is a bit premature, but I am not hoping to have an in-depth understanding of them...yet) and when I looked up Lie ...
1
vote
3answers
1k views

Representing rotations using quaternions

I'm learning Unity and came across a situation where rotations are represented as Quaternions. I've heard that they where used in computer graphics, but never had to use them until now. What I can't ...
1
vote
2answers
851 views

Best book to study Lie group theory

I have been using the concepts of Lie group, Lie algebra and some of its properties for quite a while now in various geometry courses, but I had to pick those concepts along the way because they are ...
3
votes
1answer
218 views

Lattices inside matrix groups $SL_2(K)$

I am currently a second year undergraduate majoring in math and our university is offering an opportunity for undergraduates to do a project over the summer break. I have spoken to my professor who is ...
1
vote
0answers
54 views

lectures on lie groups [duplicate]

I am reading the Lectures on lie groups by J.Adams. But it is hard to understand for me. How can I get a good consciousness of this book? Is there any suitable book that cover this book with same ...