For pointed Hopf algebras with finite grouplikes and invertible antipode, the partial representation algebra H_par decomposes as a direct sum of unital ideals indexed by the components of the groupoid associated to the grouplike group.
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On partial representations of pointed Hopf algebras
For pointed Hopf algebras with finite grouplikes and invertible antipode, the partial representation algebra H_par decomposes as a direct sum of unital ideals indexed by the components of the groupoid associated to the grouplike group.