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In this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complete Rota-Baxter Lie algebras, that is, we show that there is a Rota-Baxter group with the underlying group structure given by the Baker-Campbell-Hausdorff formula, associated to any complete Rota-Baxter Lie algebra.
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Goncharov et al. (Sun,) studied this question.
synapsesocial.com/papers/68e6f4b7b6db64358766eeb2 — DOI: https://doi.org/10.48550/arxiv.2404.09261
Maxim Goncharov
Austrian Academy of Sciences
P. S. Kolesnikov
Sobolev Institute of Mathematics
Yunhe Sheng
Jilin University
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