2 citations · 3 across the 2 of their papers we have counts for
3 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…
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…