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arXiv · 2306.08508

Nakayama functor for coalgebras and a categorical perspective of the integral theory for Hopf algebras

Kenichi Shimizu
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Abstract

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-bialgebra with preantipode to admit a non-zero cointegral.

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Kenichi Shimizu. 2023-06-14. Nakayama functor for coalgebras and a categorical perspective of the integral theory for Hopf algebras. https://arxiv.org/abs/2306.08508

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