Classification of representations of the algebra U '(q) (so(3)) through examples

Classification or the representations of the nonstandard deformation U-q'(s o(3)) is provided through examples of low dimensions. Classification differ s substantially when deformation parameter q is/is not root of unity (q(n) = 1). When it is a root of unity, situation differs for odd and even n. Exa mples are presented for the first nontrivial cases (namely n = 3), from whi ch general case is easy to follow.