19 citations · 49 across the 18 of their papers we have counts for
21 papers
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,…
Uniqueness of braided tensor structures and the Huang--Lepowsky structure on affine vertex operator algebras in the classical Lie types and G_2
Claudia Pinzari
We prove that the unitary modular tensor category structure previously constructed for all Lie types, on the module category of the affine vertex operator algebra V_{g_k} at positi…
Unitary coboundary weak quasi-Hopf algebras in the Kazhdan-Lusztig-Finkelberg theorem
Sergio Ciamprone, Marco Valerio Giannone, Claudia Pinzari
We construct, for every complex simple Lie algebra g and every positive integer level k, a unitary modular tensor category structure on the module category of the affine vertex ope…
Connectedness and irreducibility of compact quantum groups
Alessandro D'Andrea, Claudia Pinzari, Stefano Rossi
We show that a natural notion of irreducibility implies connectedness in the Compact Quantum Group setting. We also investigate the converse implication and show it is related to K…
Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra
Alessandro D'Andrea, Claudia Pinzari, Stefano Rossi
Banica and Vergnioux have shown that the dual discrete quantum group of a compact simply connected Lie group has polynomial growth of order the real manifold dimension. We extend t…
Quasi-coassociative C*-quantum groupoids of type A and modular C*-categories
Sergio Ciamprone, Claudia Pinzari
We construct a new class of finite-dimensional C^*-quantum groupoids at roots of unity q=e^{iπ/\ell}, with limit the discrete dual of the classical SU(N) for large orders. The repr…