  Interacting systems of particles with generalized statistics are considered
on both classical and quantum level. It is shown that all possible quantum
states and corresponding processes can be represented in terms of certain
specific categories. The corresponding Fock space representation is discussed.
The problem of existence of well--defined scalar product is considered. It is
shown that commutation relations corresponding to a system with generalized
statistics can be constructed from relations corresponding to Bolzman
statistics.
