Projective representation
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High Quality Content by WIKIPEDIA articles! In the mathematical field of representation theory, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group PGL(V,F) = GL(V,F)/F? where GL(V,F) is the general linear group of invertible linear transformations of V over F and F here is the normal subgroup consisting of multiplications of vectors in V by nonzero elements of F (that is, scalar multiples of the identity; scalar transformations; diagonal matrices).
