Categorical aspects of cointegrals on quasi-Hopf algebras

Taiki Shibata, Kenichi Shimizu

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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 MH 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 YHHD by using an integral in H and a cointegral on H. Finally, we give a description of the twisted module trace for projective H-modules in terms of cointegrals on H.

本文言語English
ページ(範囲)353-411
ページ数59
ジャーナルJournal of Algebra
564
DOI
出版ステータスPublished - 2020 12 15

ASJC Scopus subject areas

  • 代数と数論

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