Klein quadric

id: klein-quadric-261-6901703
title: Klein quadric
text: In mathematics, the lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a quadric, Q known as the Klein quadric. If the underlying vector space of S is the 4-dimensional vector space V, then T has as the underlying vector space the 6-dimensional exterior square Λ2V of V. The line coordinates obtained this way are known as Plücker coordinates. These Plücker coordinates satisf
brand slug: wiki
category slug: encyclopedia
description: Polynomial characterizing lines in projective 3-space
original url: https://en.wikipedia.org/wiki/Klein_quadric
date created:
date modified: 2024-03-01T02:54:26Z
main entity: {"identifier":"Q6420195","url":"https://www.wikidata.org/entity/Q6420195"}
image:
fields total: 13
integrity: 14

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