%0 Journal Article
%T On the category of modules over some semisimple bialgebras
%A V. A. Artamonov
%A R. B. Mukhatov
%A R. Wisbauer
%J Arabian Journal of Mathematics
%@ 2193-5351
%D 2012
%I 
%R 10.1007/s40065-012-0010-9
%X We study the tensor category of modules over a semisimple bialgebra H under the assumption that irreducible H-modules of the same dimension > 1 are isomorphic. We consider properties of Clebsch¨CGordan coefficients showing multiplicities of occurrences of each irreducible H-module in a tensor product of irreducible ones. It is shown that, in general, these coefficients cannot have small values.
%K 16T10
%U http://link.springer.com/article/10.1007/s40065-012-0010-9