pith. machine review for the scientific record. sign in

arxiv: 1801.01735 · v2 · submitted 2018-01-05 · 🧮 math.QA · math.OA

Recognition: unknown

Tube representations and twisting of graded categories

Jyotishman Bhowmick , Shamindra Ghosh , Narayan Rakshit , Makoto Yamashita
Authors on Pith no claims yet
classification 🧮 math.QA math.OA
keywords tubealgebragammagradedtwistingactioncategoriescategory
0
0 comments X
read the original abstract

We study deformation of tube algebra under twisting of graded monoidal categories. When a tensor category $\mathcal{C}$ is graded over a group $\Gamma$, a torus-valued 3-cocycle on $\Gamma$ can be used to deform the associator of $\mathcal{C}$. Based on a natural Fell bundle structure of the tube algebra over the action groupoid of the adjoint action of $\Gamma$, we show that the tube algebra of the twisted category is a 2-cocycle twisting of the original one.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

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

  1. Categorical Symmetries via Operator Algebras

    hep-th 2026-04 unverdicted novelty 6.0

    The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra,...