Twisted dendriform algebras and the pre-Lie Magnus expansion
Combinatorics
2011-05-18 v3 Quantum Algebra
Abstract
In this paper an application of the recently introduced pre-Lie Magnus expansion to Jackson's q-integral and q-exponentials is presented. Twisted dendriform algebras, which are the natural algebraic framework for Jackson's q-analogues, are introduced for that purpose. It is shown how the pre-Lie Magnus expansion is used to solve linear q-differential equations. We also briefly outline the theory of linear equations in twisted dendriform algebras.
Keywords
Cite
@article{arxiv.0910.2166,
title = {Twisted dendriform algebras and the pre-Lie Magnus expansion},
author = {Kurusch Ebrahimi-Fard and Dominique Manchon},
journal= {arXiv preprint arXiv:0910.2166},
year = {2011}
}
Comments
improved version; accepted for publication in the Journal of Pure & Applied Algebra