CATEGORICAL ASPECTS OF COINTEGRALS ON QUASI-HOPF ALGEBRAS

Taiki Shibata, Kenichi Shimizu

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss relations between some category-theoretical notions for a finite tensor category and cointegrals on a quasi-Hopf algebra. Specifically, for a finite-dimensional quasi-Hopf algebra H, we give an explicit description of categorical cointegrals of the category HM of left H-modules in terms of cointegrals on H. Provided that H is unimodular, we also express the Frobenius structure of the ‘adjoint algebra’ in the Yetter-Drinfeld category HHYD by using an integral in H and a cointegral on H. Finally, we give a description of the twisted modified trace for projective H-modules in terms of cointegrals on H.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Dec 9

ASJC Scopus subject areas

  • General

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