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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,…