Some computations of Frobenius-Schur indicators of the regular representations of Hopf algebras

Mathematics – Quantum Algebra

Scientific paper

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30 pages; Many errors are corrected

Scientific paper

We study Frobenius-Schur indicators of the regular representations of
finite-dimensional semisimple Hopf algebras, especially group-theoretical ones.
Those of various Hopf algebras are computed explicitly. In view of our
computational results, we formulate the theorem of Frobenius for semisimple
Hopf algebras and give some partial results on this problem.

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