Post-symmetric braces and integration of post-Lie algebras

Abstract

In this paper we identify the post-Lie analogue of the symmetric brace algebras, advocate their role in the theory of the associated D-algebras and present some relations with the so-called post-Lie Magnus expansion.

arXiv commentThis is published version of the paper previously titled "On the post-symmetric brace algebras". The last section of the older version was removed from the new one and it will be part of a new preprint. 25 pages, 20 figures

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Cited by in corpus (5)

• 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
• 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