equivariant

Adjective

 * 1)  Not affected by a specified group action.
 * $$f:S\to T$$ is equivariant with respect to $$g\,\!$$: for every $$s\,\!$$ in $$S\,\!$$, $$g_T\,\!f(s)=f(g_S\,\!s)$$, where $$g_S\,\!$$ and $$g_T\,\!$$ are actions on different sets of the same group.