Some properties of factorizable Hopf algebras

Schneider, H.-J.

doi:10.1090/S0002-9939-01-05787-2

Some properties of factorizable Hopf algebras
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Proc. Amer. Math. Soc. 129 (2001), 1891-1898 Request permission

Abstract:

A direct proof without modular category theory is given of a recent theorem of Etingof and Gelaki (1998) on the dimensions of irreducible representations. Factorizable Hopf algebras are characterized in terms of their Drinfeld double, and their character rings and the group-like elements of their duals are described.

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