Pith. sign in

REVIEW 1 cited by

Ribbon structures of the Drinfeld center of a finite tensor category

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1707.09691 v3 pith:UXCSQP3L submitted 2017-07-31 math.QA math.CT

Kenichi Shimizu (Shibaura Institute of Technology) This is my paper · ORCID
classification math.QAmath.CT
keywords mathcalcategorytensordrinfeldfiniteribboncenterresult
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We classify the ribbon structures of the Drinfeld center $\mathcal{Z}(\mathcal{C})$ of a finite tensor category $\mathcal{C}$. Our result generalizes Kauffman and Radford's classification result of the ribbon elements of the Drinfeld double of a finite-dimensional Hopf algebra. As a consequence, we see that $\mathcal{Z}(\mathcal{C})$ is a modular tensor category in the sense of Lyubashenko if $\mathcal{C}$ is a spherical finite tensor category in the sense of Douglas, Schommer-Pries and Snyder.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-semisimple open-closed 3d TFT

    math.QA 2026-08 accept novelty 7.0 of 10

    A spherical finite tensor category with a modified trace gives a finite-dimensional open-closed 3d TFT via a new handlebody invariant and the universal construction.

Pith tools