A Frobenius-Schur theorem for Hopf algebras

Details A Frobenius-Schur theorem for Hopf algebras A Frobenius-Schur theorem for Hopf algebras

2000-04-14

arxiv.org/abs/math/0004097v1

Mathematics

Representation Theory

Scientific paper

In this note we prove a generalization of the Frobenius-Schur theorem for
finite groups for the case of semisimple Hopf algebra over an algebraically
closed field of characteristic 0. A similar result holds in characteristic $p >
2$ if the Hopf algebra is also cosemisimple. In fact we show a more general
version for any finite-dimensional semisimple algebra with an involution.

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