1.AdjectiveNot affected by a specified group action."
f
:
S
→
T
{\displaystyle f:S\to T}
is equivariant with respect to
g
{\displaystyle g\,\!}
: for every
s
{\displaystyle s\,\!}
in
S
{\displaystyle S\,\!}
,
g
T
f
(
s
)
=
f
(
g
S
s
)
{\displaystyle g_{T}\,\!f(s)=f(g_{S}\,\!s)}
, where
g
S
{\displaystyle g_{S}\,\!}
and
g
T
{\displaystyle g_{T}\,\!}
are actions on different sets of the same group."