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math.CT2025
Hopf categories associated to comonoidal functors
Andrea Rivezzi
We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera's construction of Hopf monoids through M-adapted functors. We discuss…
math.QA2025
Quantization of infinitesimal braidings and pre-Cartier quasi-bialgebras
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer +1
In this paper we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the non-symmetric case. The algebraic counterpart of the…