Pivotal structures of the Drinfeld center of a finite tensor category

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Abstract

We show that pivotal structures of the Drinfeld center of a finite tensor category C are in bijection with the set of equivalence classes of a pair (β,j) consisting of an invertible object β of C and a monoidal natural transformation jX:β⊗X⊗β→X⁎⁎ (X∈C).

Original languageEnglish
Article number107321
JournalJournal of Pure and Applied Algebra
Volume227
Issue number7
DOIs
Publication statusPublished - 2023 Jul

Keywords

  • Drinfeld center
  • Finite tensor category
  • Pivotal structure

ASJC Scopus subject areas

  • Algebra and Number Theory

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