On the structure of symmetric self-dual Lie algebras

  title={On the structure of symmetric self-dual Lie algebras},
  author={Jos{\'e} M. Figueroa-O’Farrill and Sonia Stanciu},
A finite-dimensional Lie algebra is called (symmetric) self-dual, if it possesses an invariant nondegenerate (symmetric) bilinear form. Symmetric self-dual Lie algebras have been studied by Medina and Revoy, who have proven a very useful theorem about their structure. In this paper we prove a refinement of their theorem which has wide applicability in Conformal Field Theory, where symmetric self-dual Lie algebras start to play an important role due to the fact that they are precisely the Lie… CONTINUE READING

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