3 papers
math.QA2026
On the Quantization-Dequantization Correspondence for (co)Poisson Hopf Algebras
Andrea Rivezzi, Jonas Schnitzer
In this paper, we construct a functorial quantization of (co)Poisson Hopf algebras within a broad categorical framework. We further introduce categories naturally associated with (…
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…