Kempf–Ness theorem
id:
kempf-ness-theorem-194-982342
title:
Kempf–Ness theorem
text:
In algebraic geometry, the Kempf–Ness theorem, introduced by George Kempf and Linda Ness (1979), gives a criterion for the stability of a vector in a representation of a complex reductive group. If the complex vector space is given a norm that is invariant under a maximal compact subgroup of the reductive group, then the Kempf–Ness theorem states that a vector is stable if and only if the norm attains a minimum value on the orbit of the vector. The theorem has the following consequence: If X is
brand slug:
wiki
category slug:
encyclopedia
description:
Criterion for vector stability in algebraic geometry
original url:
https://en.wikipedia.org/wiki/Kempf%E2%80%93Ness_theorem
date created:
date modified:
2023-07-20T02:15:01Z
main entity:
{"identifier":"Q6387087","url":"https://www.wikidata.org/entity/Q6387087"}
image:
fields total:
13
integrity:
14