equivariant

Adjective

Meaning

equivariant (not comparable)

(mathematics, of a function) Not 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.

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