The Lie group of translations on a Euclidean space

TranslationGroup{𝔽,T}

The translation group $\mathcal T(n)$ is Lie group consisting of the AdditionGroupOperation on some Euclidean space.

Constructor

TranslationGroup(n₁,...,nᵢ; kwargs...)

Generate the translation group on $𝔽^{n₁,…,nᵢ}$ = Euclidean(n₁,...,nᵢ; field=𝔽), which is isomorphic to the group itself. All keyword arguments in kwargs... are passed on to Euclidean as well

We denote the Lie algebra of $\mathcal T(n)$ by $\mathfrak t(n)$.