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

This paper completes series of articles devoted to classification of the representations of the nonstandard deformation U′_q(so ₃) providing examples of such representations in low dimensions. The classification differs substantially when the deformation parameter q is/is not root of unity (q ⁿ=1). When it is a root of unity, the situation differs for odd and even n. The examples presented here cover the first nontrivial case when n is even (namely, n=4), from which the general case follows easily.