1 citations · 1 across the 6 of their papers we have counts for
6 papers
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 (…
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…
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…
On the universal Drinfeld-Yetter algebra
Andrea Rivezzi
The universal Drinfeld-Yetter algebra is an associative algebra whose co-Hochschild cohomology controls the existence of quantization functors of Lie bialgebras, such as the renown…
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…