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arXiv · 2508.19143

An integration of Lie-Leibniz triples

Ryo Hayami
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Abstract

In this paper, we introduce the group version of a Lie-Leibniz triple, which we call a Lie group-rack triple. We define a Lie group-rack triple whose tangent structure is a Lie-Leibniz triple, which is a generalization of an augmented Lie rack whose tangent structure is an augmented Leibniz algebra. We show that any finite-dimensional Lie-Leibniz triple can be integrated to a local Lie group-rack triple by generalizing the integration procedure of an augmented Leibniz algebra into an augmented Lie rack.

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Ryo Hayami. 2025-08-26. An integration of Lie-Leibniz triples. https://arxiv.org/abs/2508.19143

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