From the 1 of 4 linked papers with an AI index.
4 papers
An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
Andrea Rivezzi, Andrea Sciandra, Thomas Weber
The paper studies infinitesimal deformations of post‑Lie and post‑Hopf algebras, showing compatibility with the universal enveloping algebra and primitive element functors, and est…
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…
Hopf categories associated to comonoidal functors
Andrea Rivezzi
We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Å evera's construction of Hopf monoids through M-adapted functors. We discuss…