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- Projective_unitary_group abstract "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.In terms of matrices, elements of U(n) are complex n×n unitary matrices, and elements of the center are diagonal matrices equal to multiplied by the identity matrix. Thus elements of PU(n) correspond to equivalence classes of unitary matrices under multiplication by a constant phase θ.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).".
- Projective_unitary_group thumbnail PSU-PU.svg?width=300.
- Projective_unitary_group wikiPageID "4402359".
- Projective_unitary_group wikiPageRevisionID "514127566".
- Projective_unitary_group hasPhotoCollection Projective_unitary_group.
- Projective_unitary_group subject Category:Lie_groups.
- Projective_unitary_group type Abstraction100002137.
- Projective_unitary_group type Group100031264.
- Projective_unitary_group type LieGroups.
- Projective_unitary_group comment "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.In terms of matrices, elements of U(n) are complex n×n unitary matrices, and elements of the center are diagonal matrices equal to multiplied by the identity matrix.".
- Projective_unitary_group label "Projective unitary group".
- Projective_unitary_group sameAs m.0c09z0.
- Projective_unitary_group sameAs Q7249475.
- Projective_unitary_group sameAs Q7249475.
- Projective_unitary_group sameAs Projective_unitary_group.
- Projective_unitary_group wasDerivedFrom Projective_unitary_group?oldid=514127566.
- Projective_unitary_group depiction PSU-PU.svg.
- Projective_unitary_group isPrimaryTopicOf Projective_unitary_group.
