This package is a rework of the Lie group features of Manifolds.jl in a unified way into a separate package. It especially puts more focus on the Lie group defaults and handling the corresponding Lie algebra.

Installation

In Julia you can install this package by typing

using Pkg; Pkg.add("LieGroups")

in the Julia REPL. For a first start, see the get started tutorial.

Note

Since this is a rework of the features from Manifolds.jl, both LieGroups.jl and Manifolds.jl 0.10 export a few types of same name, for example Identity. While LieGroups.jl depends on Manifolds.jl, it is not recommended to load both into the same name space, that is, doing using Manifolds.jl, LieGroups.jl, since then these conflicts might lead to unforeseen errors, where you would need to specify the name space to resolve this ambiguity. See transition from Manifolds.jl for a comprehensive list. This especially also includes a few different choices in default behaviour that is different from the Manifolds.jl one. For purely manifold-based operations, any Lie group still is “build upon” a Riemannian manifold.