13 citations · 29 across the 6 of their papers we have counts for
6 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…
Monomial bases and pre-Lie structure for free Lie algebras
Mahdi J. Hasan Al-Kaabi, Dominique Manchon, Frédéric Patras
In this paper, we construct a pre-Lie structure on the free Lie algebra L(E) generated by a set E, giving an explicit presentation of L(E) as the quotient of the free pre-Lie algeb…
On pre-Lie Magnus expansion
Mahdi J. Hasan Al-Kaabi
In this paper, we study the classical and pre-Lie Magnus expansions, discussing how we can find a recursion for the pre-Lie case which already incorporates the pre-Lie identity. We…
Monomial bases for free pre-Lie algebras
Mahdi Jasim Hasan al-Kaabi
In this paper, we study the concept of free pre-Lie algebra generated by a (non-empty) set. We review the construction of A. Agrachev and R. Gamkrelidze of monomial bases in free p…