Tube representations and twisting of graded categories

Article Type

Research Article

Publication Title

Theory and Applications of Categories

Abstract

We study deformation of tube algebra under twisting of graded monoidal categories. When a tensor category C is graded over a group Γ, a torus-valued 3-cocycle on Γ can be used to deform the associator of C. We show that it induces a 2-cocycle on the groupoid of the adjoint action of Γ. Combined with the natural Fell bundle structure of tube algebra over this groupoid, we show that the tube algebra of the twisted category is a 2-cocycle twisting of the original one.

First Page

964

Last Page

987

Publication Date

1-1-2018

This document is currently not available here.

Share

COinS