Nonclassical representations of the nonstandard deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1})

The aim of this paper is to announce the results on irreducible nonclassical type representations of the nonstandard q-deformations U’q(so_n), U_q(iso_n) and U’q(so{n,1}) of the universal enveloping algebras of the Lie algebras so(n,C), iso_n and so{n,1} when q is a real number (the algebra U’q(so{n,1}) is a real form of the algebra U’q(so{n+1})). These representations are characterized by the properties that they are singular at the point q=1.