# Nakayama functors for coalgebras and their applications for Frobenius tensor categories

@inproceedings{Shibata2021NakayamaFF, title={Nakayama functors for coalgebras and their applications for Frobenius tensor categories}, author={Taiki Shibata and Kenichi Shimizu}, year={2021} }

We introduce Nakayama functors for coalgebras and investigate their basic properties. These functors are expressed by certain (co)ends as in the finite case discussed by Fuchs, Schaumann, and Schweigert. This observation allows us to define Nakayama functors for Frobenius tensor categories in an intrinsic way. As applications, we establish the categorical Radford Sformula for Frobenius tensor categories and obtain some related results. These are generalizations of works of Etingof, Nikshych…

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