Projective orthogonal group

id: projective-orthogonal-group-251-13853410
title: Projective orthogonal group
text: In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V,Q) on the associated projective space P(V). Explicitly, the projective orthogonal group is the quotient group where O(V) is the orthogonal group of (V) and ZO(V)={±I} is the subgroup of all orthogonal scalar transformations of V – these consist of the identity and reflection through the origin. These scalars are quotiented out because they act tr
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original url: https://en.wikipedia.org/wiki/Projective_orthogonal_group
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date modified: 2022-12-28T06:22:51Z
main entity: {"identifier":"Q7249468","url":"https://www.wikidata.org/entity/Q7249468"}
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