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Groups and smooth geometry using LieGroups.jl

2026/01/13 by Ronny Bergmann, Mateusz Baran · 1 voice
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.21105/jcon.00195

openalex publication_date 2026/01/13 · openalex created_date 2026/01/14 · openalex updated_date 2026/06/11

Abstract

LieGroups.jl is a Julia package that provides an interface to define Lie groups as well as the corresponding Lie algebra and Lie group actions.The package also offers a well-documented, performant, and well-tested library of such objects, with a focus on numerical computations in engineering.This paper presents the main features of the interfaces and how that is integrated within the JuliaManifolds ecosystem.We further present an overview on existing Lie groups implemented in LieGroups.jlas well as how to get started to use the package in practice.

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