Deformations of (Bi) tensor Categories

Abstract

We define the cohomology and formal deformation theories for algebra and bialgebra categories. We suggest some approaches to finding nontrivial deformations of the categories associated to the quantum groups by the work of Lusztig.

12 pages latex

Cited by in corpus (7)

• Anyons in an exactly solved model and beyond
• Davydov-Yetter cohomology, comonads and Ocneanu rigidity
• Modular data: the algebraic combinatorics of conformal field theory
• 2-cosemisimplicial objects in a 2-category, permutohedra and deformations of pseudofunctors
• On Deformations of Pasting Diagrams, II
• Cohomology and deformation theory of monoidal 2-categories I
• Finite groups, spherical 2-categories, and 4-manifold invariants