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math.QA2026
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…
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 (…