Post-Lie Algebras and Factorization Theorems
Kurusch Ebrahimi-Fard, Igor Mencattini, Hans Z. Munthe-Kaas
Journal of Geometry and Physics2017
Abstract
We develop the theory of post-Lie algebras and establish factorization theorems connecting these structures to the algebraic foundations of numerical integration. Post-Lie algebras generalize Lie algebras in a way that captures the algebraic essence of parallel transport on manifolds, providing a unified framework for Lie group integrators.
Cite this publication
@article{kuruschebrahimifard2017postlie,
author = {Kurusch Ebrahimi-Fard and Igor Mencattini and Hans Z. Munthe-Kaas},
title = {Post-Lie Algebras and Factorization Theorems},
journal = {Journal of Geometry and Physics},
year = {2017},
doi = {10.1016/j.geomphys.2017.04.003},
eprint = {1701.07786},
archivePrefix = {arXiv}
}