3 papers
math.FA2026
A universal characterisation of the Bochner integral
Jean-David Jacques, Felix Medwed, Fabrizio Zanello
We provide a universal characterisation of the Banach spaces of equivalence classes of Bochner integrable functions, under equality almost everywhere, as initial objects in a…
math.AC2025
Geometric post-Lie deformations of post-Lie algebras and regularity structures
Jean-David Jacques
In order to derive a class of geometric-type deformations of post-Lie algebras, we first extend the geometrical notions of torsion and curvature for a general bilinear operation on…
math-ph2023
Post-Lie algebras of derivations and regularity structures
Jean-David Jacques, Lorenzo Zambotti
Given a commutative algebra , we exhibit a canonical structure of post-Lie algebra on the space where ${\rm Der}(\mathcal{A…