Kaplansky's divisibility conjecture for semisimple Hopf algebras

Let HH be a semisimple Hopf algebra, and let IrrHM\operatorname{Irr} {}_{H}^{}\mathcal{M} denote the set of isomorphism classes of irreducible finite-dimensional HH-modules. Kaplansky's conjecture. For every VIrrHMV\in \operatorname{Irr} {}_{H}^{}\mathcal{M}, the dimension of VV divides the dimension of HH. This is a classical divisibility conjecture for semisimple Hopf algebras; the supplied text does not state whether it has been resolved.

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Primary source

Nicolás Andruskiewitsch, “On finite-dimensional Hopf algebras”, arXiv:1403.7838 (2014).

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