Haboush's theorem

id: haboush-s-theorem-239-14729869
title: Haboush's theorem
text: In mathematics Haboush's theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K, and for any linear representation ρ of G on a K-vector space V, given v ≠ 0 in V that is fixed by the action of G, there is a G-invariant polynomial F on V, without constant term, such that The polynomial can be taken to be homogeneous, in other words an element of a symmetric power of the dual of V, and if the characteristic is p>0 the degree of t
brand slug: wiki
category slug: encyclopedia
description: Each semi-simple algebraic group is geometrically reductive
original url: https://en.wikipedia.org/wiki/Haboush%27s_theorem
date created:
date modified: 2023-06-29T02:32:28Z
main entity: {"identifier":"Q3527088","url":"https://www.wikidata.org/entity/Q3527088"}
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integrity: 14

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