TY - JOUR
T1 - Pivotal structures of the Drinfeld center of a finite tensor category
AU - Shimizu, Kenichi
N1 - Funding Information:
The author is supported by JSPS KAKENHI Grant Numbers JP16K17568 and JP20K03520 .
Publisher Copyright:
© 2023 The Author(s)
PY - 2023/7
Y1 - 2023/7
N2 - 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).
AB - 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).
KW - Drinfeld center
KW - Finite tensor category
KW - Pivotal structure
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U2 - 10.1016/j.jpaa.2023.107321
DO - 10.1016/j.jpaa.2023.107321
M3 - Article
AN - SCOPUS:85146338225
SN - 0022-4049
VL - 227
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 7
M1 - 107321
ER -