111 citations · 741 across the 51 of their papers we have counts for
59 papers
Free post-groups, post-groups from group actions, and post-Lie algebras
Mahdi Jasim Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon
After providing a short review on the recently introduced notion of post-group by Bai, Guo, Sheng and Tang, we exhibit post-group counterparts of important post-Lie algebras in the…
Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials
M. J. H. Al-Kaabi, K. Ebrahimi-Fard, D. Manchon +1
Understanding the algebraic structure underlying a manifold with a general affine connection is a natural problem. In this context, A. V. Gavrilov introduced the notion of framed L…
Post-Lie-Magnus expansion and BCH-recursion
Mahdi Jasim Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon
We identify the Baker-Campbell-Hausdorff recursion driven by a weight Rota-Baxter operator with the Magnus expansion relativeto the post-Lie structure naturally associated to…
Doubling bialgebras of finite topologies
Mohamed Ayadi, Dominique Manchon
The species of finite topological spaces admits two graded bimonoid structures, recently defined by F. Fauvet, L. Foissy, and the second author. In this article, we define a doubli…
Algebraic deformation for (S)PDEs
Yvain Bruned, Dominique Manchon
We introduce a new algebraic framework based on the deformation of pre-Lie products. This allows us to provide a new construction of the algebraic objects at play in Regularity Str…
Families of algebraic structures
Loic Foissy, Dominique Manchon, Yuanyuan Zhang
We give a general account of family algebras over a finitely presented linear operad, this operad together with its presentation naturally defining an algebraic structure on the se…