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An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
Andrea Rivezzi, Andrea Sciandra, Thomas Weber
We describe infinitesimal deformations of post-Lie algebras and post-Hopf algebras and prove that the adjunction given by the universal enveloping algebra and primitive elements fu…
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 (…
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…
A gentle introduction to Drinfel'd associators
Martin Bordemann, Andrea Rivezzi, Thomas Weigel
In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations b…