Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Generalised cartan matrix

  1. Nov 19, 2008 #1
    I have a lie algebra whose killing form is degenerate, hence not semi simple by cartan's second criterion.

    So I cannot apply a Cartan Weyl Basis to classify the algebra. I currently have an algebra with 5 generators. Later I will have one with 11 generators and I am hoping I can spot how i can continue this to algebras with higher dimension with the method I am using by studying root spaces and dynkin diagrams and so on.

    Because the algebra isn't semi-simple, I simply do not have any idea where to start and the literature is all very abstract.

    Help :cry:
     
  2. jcsd
  3. Nov 20, 2008 #2
    Anyone? Any help would be good.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?