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arXiv · 2604.25616

Lie pairs and formal Lie groups

Fulin Chen·Binyong Sun·Chuyun Wang
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Abstract

In a previous paper, we introduce and study formal manifolds, which generalize smooth manifolds. In this paper, we establish the basic theory of formal Lie groups, which are group objects in the category of formal manifolds. In particular, extending the classical formal Lie theory theorem, we prove that the category of formal Lie groups is equivalent to the category of Lie pairs.

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BibTeXRIS

Fulin Chen, Binyong Sun, Chuyun Wang. 2026-04-28. Lie pairs and formal Lie groups. https://arxiv.org/abs/2604.25616

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