UNITARY-GROUP REPRESENTATIONS IN FOCK SPACES WITH GENERALIZED EXCHANGE PROPERTIES

We investigate the notion of second R-quantization - a suitable deformation of the standard second quantization which properly takes into account the nontrivial exchange properties characterizing generalized statistics. We also perform the R-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.