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About: Projective unitary group     Goto   Sponge   NotDistinct   Permalink

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Type: Thingyago:WikicatLieGroupsyago:Abstraction100002137yago:Group100031264 New Facet based on Instances of this Class

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 holomorphic isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. Abstractly, given a Hermitian space V, the group PU(V) is the image of the unitary group U(V) in the automorphism group of the projective space P(V).