4 papers
Balanced infinitesimal bialgebras, double Poisson gebras and pre-Calabi-Yau algebras
Alexandre Quesney
We consider the properad that governs the balanced infinitesimal bialgebras equipped with a coproduct of degree . This properad naturally encodes a part of the structure of th…
What is the Magnus Expansion?
Kurusch Ebrahimi-Fard, Igor Mencattini, Alexandre Quesney
The Magnus expansion, introduced by Wilhelm Magnus in 1954, is an infinite Lie series employed to express solutions for first-order homogeneous linear differential equations involv…
Crossed morphisms, (integration of) post-Lie algebras and the post-Lie Magnus expansion
Igor Mencattini, Alexandre Quesney
In the first part of this letter it will be shown that the post-Lie Magnus expansion can be interpreted as a crossed morphism between two (local) Lie group. The second part will be…
Post-symmetric braces and integration of post-Lie algebras
Igor Mencattini, Alexandre Quesney, Pryscilla Silva
In this paper we identify the post-Lie analogue of the symmetric brace algebras, advocate their role in the theory of the associated D-algebras and present some relations with the…