High Quality Content by WIKIPEDIA articles! In mathematics, the projective unitary group PU(n) is the quotient of the unitary group U(n) by the right multiplication of its center, U(1), embedded as scalars. Abstractly, it is the isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. In terms of matrices, elements of U(n) are complex ntimes n unitary matrices, and elements of the center are diagonal matrices equal to ei? multiplied by the identity matrix. Thus elements of PU(n) correspond to equivalence classes of unitary matrices under multiplication by a constant phase ?.

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