On classical invariant theory and binary cubics
type: Item
instance of: scholarly article
title: On classical invariant theory and binary cubics
zbMATH Open document ID: 0597.14011
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74763
review text: Let G be a reductive complex algebraic group, and let \({\mathbb{C}}[mV]^ G\) denote the algebra of invariant polynomial functions on the direct sum of m copies of the representation space V of G. There is a smallest integer \(n=n(V)\) such that generators and relations of \({\mathbb{C}}[mV]^ G\) can be obtained from those of \({\mathbb{C}}[nV]^ G\) by polarization and restitution for all \(m>n\). We bound n and the degrees of generators and relations of \({\mathbb{C}}[nV]^ G\), extending results of Vust. We apply our techniques to compute the invariant theory of binary cubics.
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 3961808
zbMATH Keywords: reductive complex algebraic group
zbMATH Keywords: algebra of invariant polynomial functions
zbMATH Keywords: invariant theory of binary cubics
author: Gerald W. Schwarz
MaRDI profile type: Publication
OpenAlex ID: W2090497094
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DOI: 10.5802/AIF.1104
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3961808