English

On pre-Lie Magnus expansion

Combinatorics 2017-07-07 v1

Abstract

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 give a combinatorial vision of a numerical method proposed by S. Blanes, F. Casas, and J. Ros, on a writing of the classical Magnus expansion in a free Lie algebra, using a pre-Lie structure.

Cite

@article{arxiv.1707.01726,
  title  = {On pre-Lie Magnus expansion},
  author = {Mahdi J. Hasan Al-Kaabi},
  journal= {arXiv preprint arXiv:1707.01726},
  year   = {2017}
}

Comments

21 pages, uses axodraw

R2 v1 2026-06-22T20:39:31.778Z