In case \(\mathcal A=\mathcal B\) and \(F= \mathrm{id}_{\mathcal A}\) is the identity functor, the centralizer \(Z(\mathrm{id}_{\mathcal A})\) is the Drinfeld center \(Z(A)\) of \(\mathcal A\), [Eti+15, Def. 7.13.1]. The generalized hexagon axiom above turns then into the familiar hexagon diagram [Eti+15, (7.41)]. Centralizers, as generalizations of Drinfeld centers, appear already in [Maj91, §3].
Original source: arXiv:2401.02956v2
Original source · 2401.02956v2