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rt.illustration idea – Non-cosemisimple duals of pointed Hopf algebras retort

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rt.illustration idea – Non-cosemisimple duals of pointed Hopf algebras

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A Hopf algebra known as pointed if all its unostentatious left (or capable)
comodules are one-dimensional. The quantized enveloping algebras and
Lusztig’s diminutive quantum teams are examples of pointed Hopf algebras.

The finte/restricted Hopf duals of quantized enveloping algebras are all cosemisimple. Does this befall in widespread, or are the duals of all pointed Hopf algebras cosemisimple?

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