3 papers
math.QA2026
Weak quasi-Hopf algebras, C*-tensor categories and conformal field theory, and the Kazhdan-Lusztig-Finkelberg theorem
Sergio Ciamprone, Marco Valerio Giannone, Claudia Pinzari
We develop Doplicher-Roberts quantum group duality program for the WZW model within the framework of vertex operator algebras. We establish that a weak quasi-fibre structure on a f…
math.OA2026
Constructing equivalences between quantum group fusion categories and Huang-Lepowsky modular categories via quantum gauge groups
Claudia Pinzari
This paper provides a unified framework resolving two long-standing problems: the intrinsic construction of global quantum gauge groups for braided tensor -categories (the Dop…
math.OA2026
The braided Doplicher-Roberts program and the Finkelberg-Kazhdan-Lusztig equivalence: A historical perspective, recent progress, and future directions
Claudia Pinzari
Our recent approach to the Finkelberg-Kazhdan-Lusztig equivalence theorem centers on the construction of a fiber functor associated with the categories in the equivalence theorem,…