Deriving Structure Factors for Lie Algebras | Dan's Project

  • Context: MHB 
  • Thread starter Thread starter topsquark
  • Start date Start date
  • Tags Tags
    Factors Structure
Click For Summary
SUMMARY

Dan is finalizing a project focused on deriving structure factors for Lie algebras based on Dynkin diagrams. He seeks verification for his results and requests a reliable source for structure factors specifically for Lie algebras of types A, B, C, and D. The discussion emphasizes the importance of accurate references in mathematical research, particularly in the context of Lie algebra theory.

PREREQUISITES
  • Understanding of Dynkin diagrams
  • Familiarity with Lie algebra theory
  • Knowledge of structure factors in mathematical contexts
  • Basic skills in mathematical research methodologies
NEXT STEPS
  • Research available databases for structure factors of Lie algebras
  • Explore literature on the classification of Lie algebras A, B, C, and D
  • Learn about computational tools for verifying mathematical results
  • Investigate academic papers discussing Dynkin diagrams and their applications
USEFUL FOR

Mathematicians, researchers in algebra, and students studying Lie algebras who require accurate information on structure factors and verification methods for their projects.

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
 

Similar threads

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