Abstract
We investigate the notion of secondR-quantization - a suitable deformation of the standard second quantization which properly takes into account the nontrivial exchange properties characterizing generalized statistics. We also perform theR-quantization of a class of unitary one-particle representations relevant for the description of symmetries. The Euclidean covariance of anyons is analyzed within this context.
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Liguori, A., Mintchev, M. & Rossi, M. Unitary group representations in fock spaces with generalized exchange properties. Lett Math Phys 35, 163–177 (1995). https://doi.org/10.1007/BF00750766
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DOI: https://doi.org/10.1007/BF00750766