Various Structures Associated to the Representation Categories of Eight-Dimensional Nonsemisimple Hopf Algebras
by Wakui, Michihisa
We determine various additional structures on all nonsemisimple Hopf algebras of dimension 8 over an algebraically closed field k of characteristic 0, including their representation rings and quasitriangular structures. As a consequence, it is shown that for two such Hopf algebras, the tensor categories of their representations are monoidally equivalent if and only if the representation rings of them are isomorphic as rings.
DOI: 10.1023/B:ALGE.0000048318.64013.db
Print publication date: 12/1/2004
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