The Lie group of translations on a Euclidean space
LieGroups.TranslationGroup
— TypeTranslationGroup{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 $\mathfrak t(n)$.
For this Lie group, all implementations are already covered by the defaults in the generic addition operation.