Groups and smooth geometry using LieGroups.jl
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.
Fields of Study & Subjects
Advanced Differential Geometry Research
Numerical methods for differential equations
Mathematical and Computational Methods
Publication details
- Journal / source
- JuliaCon Proceedings
- Volume
- 8
- Issue
- 79
- Pages
- 195–195
- Publication date
- 13 January 2026