[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.