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A Notation/Site for Representations of an Algebra

  1. Sep 29, 2016 #1
    I'm currently reading the paper "Higher Spin extension of cosmological spacetimes in 3d: asymptotically flat behaviour with chemical potentials in thermodynamics"
    I'm looking at equation (3) on page 4. I know that symmetrization brackets work like this
    A_(a b) = (A_ab + A_ba)/2. However I have never seen the expression given for [J_ab, J_cd] with the two brackets. How should one interpret this?
    Furthermore: Does anyone know a site where one can look up representations of Lie algebras? I'm specifically looking for a representation of this algebra (isl(3,R))
    Thanks so much in advance!
  2. jcsd
  3. Oct 4, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
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