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math.QA2023
Nakayama functor for coalgebras and a categorical perspective of the integral theory for Hopf algebras
Kenichi Shimizu
We review basic properties of the Nakayama functor for coalgebras and introduce a number of applications to tensor categories. We also give equivalent conditions for a coquasi-bial…
math.QA2023
Pointed Hopf superalgebras of dimension up to 10
Taiki Shibata, Kenichi Shimizu, Ryota Wakao
By utilizing the technique introduced in our previous work to construct Hopf superalgebras by an inverse procedure of the Radford-Majid bosonization, we classify non-semisimple poi…