2018/01/05 by Jyotishman Bhowmick, Bhowmick, Jyotishman, Shamindra Kumar Ghosh +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Primary 18D10 #Quantum Algebra (math.QA) #Secondary 46L37
paper · pdf · doi:10.48550/arxiv.1801.01735
openalex publication_date 2018/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. Based on a natural Fell bundle structure of the tube algebra over the action groupoid of the adjoint action of Γ, we show that the tube algebra of the twisted category is a 2-cocycle twisting of the original one.