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[02414] Quadratic Lie algebras algorithms applied over oscillator algebras

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : Quadratic Lie algebras appear in Mathematics and Physics. Main examples are oscillator and generalized oscillator which are related to space-time models and determine some Lie groups with Lorentz metrics or Lorentzian cones. This variety of algebras with bilinear invariant forms can be built using double extensions from a metric vector space via derivations. In this talk we will see an overview of how all these concepts can be algorithmically obtained. Available in our Github repository.
  • Classification : 17B05, 15A63, 17B40, 17B81
  • Format : Talk at Waseda University
  • Author(s) :
    • Jorge Roldán-López (Universidad de La Rioja)
    • Pilar Benito (Universidad de La Rioja)