equivariant

equi- +‎ variant

equivariant (not comparable)

1. (mathematics, of a function) Not affected by a specified group action.

   ${\displaystyle f:S\to T}$ is equivariant with respect to ${\displaystyle g\,\!}$: for every ${\displaystyle s\,\!}$ in ${\displaystyle S\,\!}$, ${\displaystyle g_{T}\,\!f(s)=f(g_{S}\,\!s)}$, where ${\displaystyle g_{S}\,\!}$ and ${\displaystyle g_{T}\,\!}$ are actions on different sets of the same group.