The wave function psi(1, 2, 3,..., N) of a gas of identical two-dimens
ional exotic particles of spin 1/M (mod 1), M = 2, 3,... is constructe
d. It is shown that psi(1, 2, 3,..., N) obeys a generalized Pauli excl
usion principle according to which no more than (M - 1) identical part
icles of spin 1/M (mod 1) can live in the same quantum state. The Ferm
i nilpotency and the Bose condensation are recovered as special cases.
Examples are given. (C) 1997 Published by Elsevier Science B.V.