A dirty integration of Leibniz algebras
Martin Bordemann, Friedrich Wagemann
TL;DR
This paper introduces a method to integrate any finite-dimensional real Leibniz algebra into a Lie rack, generalizing the classical Lie group integration for Lie algebras, though the process is non-functorial.
Contribution
It provides a novel integration approach for Leibniz algebras into Lie racks, extending the classical Lie group-Lie algebra correspondence.
Findings
Leibniz algebras can be integrated into Lie racks.
The construction generalizes Lie group integration.
The method is non-functorial.
Abstract
In this article, we present an integration of any real finite-dimensional Leibniz algebra as a Lie rack which reduces in the particular case of a Lie algebra to the ordinary connected simply connected Lie group. The construction is not functorial.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models