Classifying quadratic maps from plane to plane
type: Item
instance of: scholarly article
title: Classifying quadratic maps from plane to plane
zbMATH Open document ID: 1019.15018
DOI: 10.1016/S0024-3795(02)00564-5
author: Yanyan Li
published in: Linear Algebra and its Applications
publication date: 2003-05-04T00:00:00Z
review text: Let \(V\) be a 2-dimensional vector space over an algebraically closed field \({\mathbf F}\) of characteristic \(\neq 2,3\). The elements in \(S^2V^* \otimes V\) under the natural action of \(GL(2,{\mathbf F})\) are classified generically. A basis of invariants is also explicitly given.
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 13A50
zbMATH DE Number: 1903574
zbMATH Keywords: bilinear symmetric map
zbMATH Keywords: finite group
zbMATH Keywords: linear representation
zbMATH Keywords: pseudoreflection
zbMATH Keywords: invariants
reviewed by: Yueh-er Kuo
MaRDI profile type: Publication
cites work: Q4273960
cites work: Q4328163
cites work: Q5585972
cites work: Q5287502
cites work: Dynamics in one complex variable. Introductory lectures.
cites work: The equivalence of bilinear forms
cites work: Computing the inertias in symmetric matrix pencils
cites work: Q4031349
full work available at URL: s0024-3795(02)00564-5
OpenAlex ID: W2113258867
description: scientific article; zbMATH DE number 1903574