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Pré-Publication, Document De Travail Année : 2018

Modified trace from pivotal Hopf $G$-coalgebra

Résumé

In a recent paper the authors Beliakova, Blanchet and Gainutdinov have shown that the modified trace on the category $H$-pmod of the projective modules corresponds to the symmetrised integral on the finite dimensional pivotal Hopf algebra $H$. We generalize this fact to the context of $G$-graded categories and Hopf $G$-coalgebra studied by Turaev-Virelizier. We show that the symmetrised $G$-integral on a finite type pivotal Hopf $G$-coalgebra induces a modified trace in the associated $G$-graded category.

Dates et versions

hal-01762689 , version 1 (10-04-2018)

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Ngoc Phu Ha. Modified trace from pivotal Hopf $G$-coalgebra. 2018. ⟨hal-01762689⟩
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