equivariant

 

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equivariant

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From 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.