On the category of modules over some semisimple bialgebras

نویسندگان

  • V. A. Artamonov
  • R. Wisbauer
چکیده

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–Gordan 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. Mathematics Subject Classification 16T10

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تاریخ انتشار 2012