Representation on coordinate rings

id: representation-on-coordinate-rings-266-4570449
title: Representation on coordinate rings
text: In mathematics, a representation on coordinate rings is a representation of a group on coordinate rings of affine varieties. Let X be an affine algebraic variety over an algebraically closed field k of characteristic zero with the action of a reductive algebraic group G. G then acts on the coordinate ring k [ X ] of X as a left regular representation: = f . This is a representation of G on the coordinate ring of X. The most basic case is when X is an affine space and the coordinate ring is a pol
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original url: https://en.wikipedia.org/wiki/Representation_on_coordinate_rings
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date modified: 2022-02-15T14:18:43Z
main entity: {"identifier":"Q18394057","url":"https://www.wikidata.org/entity/Q18394057"}
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