From Hopf algebras to tensor categories
  This is a survey on spherical Hopf algebras. We give criteria to decide when a Hopf algebra is spherical and collect examples. We discuss tilting modules as a mean to obtain a fusion subcategory of the non-degenerate quotient of the category of representations of a suitable Hopf algebra. 
Nicolas Andruskiewitsch, Ivan Angiono, Agustin Garcia Iglesias, Blas   Torrecillas, Cristian Vay
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