Semilinear_map
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Semilinear map - Wikipedia Jump to content From Wikipedia, the free encyclopedia In linear algebra , particularly projective geometry , a semilinear map between vector spaces V and W over a field K is a function that is a linear map "up to a twist", hence semi -linear, where "twist" means " field automorphism of K ". Explicitly, it is a function T  : V → W that is: additive with respect to vector addition: T ( v + v ′ ) = T ( v ) + T ( v ′ ) {\displaystyle T(v+v')=T(v)+T(v')} there exists a field automorphism θ of K such that T ( λ v ) = θ ( λ ) T (
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