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arXiv · 0910.2166

Twisted dendriform algebras and the pre-Lie Magnus expansion

Kurusch Ebrahimi-Fard·Dominique Manchon
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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.

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Kurusch Ebrahimi-Fard, Dominique Manchon. 2011-02-16. Twisted dendriform algebras and the pre-Lie Magnus expansion. https://doi.org/10.1016/j.jpaa.2011.03.004

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