The paper reviews the construction of a fiber functor for the Finkelberg-Kazhdan-Lusztig equivalence and discusses its consequences for the structure of weak Hopf algebras and unitarizability of braided fusion categories from conformal field theory.
Banica: Th´ eorie des repr´ esentations du groupe quantique compact libreO(n),C
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The braided Doplicher-Roberts program and the Finkelberg-Kazhdan-Lusztig equivalence: A historical perspective, recent progress, and future directions
The paper reviews the construction of a fiber functor for the Finkelberg-Kazhdan-Lusztig equivalence and discusses its consequences for the structure of weak Hopf algebras and unitarizability of braided fusion categories from conformal field theory.