Deforming Maps from Classical to Quantum Group Covariant Creation & Annihilation Operators
نویسنده
چکیده
We suggest a simple and presumably general procedure to construct formal transformations from (Lie) group covariant Heisenberg algebras into quantum group covariant ones by using Drinfel’d twist. The procedure is successfully applied to general triangular deformations of Lie groups and to the quantum group Uqsl(2). Some consequences at the representation level, focusing on the statistics issue, are derived: e.g. when q ∈ R some representations describe particles with standard Bose or Fermi statistics. *EU-fellow, TMR grant ERBFMBICT960921. e-mail: Gaetano.Fiore @ physik.uni-muenchen.de
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Deforming Maps for Lie Group Covariant Creation & Annihilation Operators
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