The Magnus expansion and Post-Lie algebras

Abstract

We relate the classical and post-Lie Magnus expansions. Intertwining algebraic and geometric arguments allows to placing the classical Magnus expansion in the context of Lie group integrators.

arXiv commentfinal version

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Cited by in corpus (6)

• Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation
• Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials
• $3$-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on $3$-Lie algebras
• What is the Magnus Expansion?
• On the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra
• Formal integration of complete Rota-Baxter Lie algebras