MHB Deriving Structure Factors for Lie Algebras | Dan's Project

  • Thread starter Thread starter topsquark
  • Start date Start date
  • Tags Tags
    Factors Structure
topsquark
Science Advisor
Homework Helper
Insights Author
MHB
Messages
2,020
Reaction score
843
I am in the final stages of the project I've been working on: Taking a Dynkin diagram and deriving the structure factors for the Lie algebra it represents. Yay me!

However. I am confident in my work but it would still be really nice to be able to check them. Does anyone know where to find a list of structure factors for the Lie algebras a, b, c, and d?

Thanks!

-Dan
 

Thread '##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?'

I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Similar threads

MHB Question about the "E" Lie algebras
Replies
0
Views
1K
MHB What is the Definition of a Derivation for a Lie Algebra?
Replies
4
Views
2K
About lie algebras, vector fields and derivations
Replies
20
Views
4K
MHB Confusion about the Killing form for A1
Replies
3
Views
3K
On Finding Lie Algebra Representations
Replies
1
Views
2K
MHB What Are the Basic Properties of This Lie Algebra?
Replies
1
Views
1K
MHB SU(2) and elementary properites of Lie Algebras
Replies
12
Views
3K
MHB What Are Some Alternative Sources for Help with Lie Algebra Definitions?
Replies
11
Views
3K
What is SU*(N)? Definition and Explanation
Replies
1
Views
2K
Calculating Lie-Algebra Branching Rules
Replies
6
Views
8K

Hot Threads

Recent Insights

Back
Top