Invariant theory and reversible-equivariant vector fields
type: Item
instance of: scholarly article
title: Invariant theory and reversible-equivariant vector fields
zbMATH Open document ID: 1173.37050
author: Fernando Antoneli
author: Patrícia H. Baptistelli
author: Ana Paula S. Dias
author: Miriam Manoel
published in: Journal of Pure and Applied Algebra
publication date: 2009-03-10T00:00:00Z
review text: Results for the systematic study of reversible-equivalent vector fields are presented -- namely, in the simultaneous presence of symmetries and reversing symmetries -- by employing algebraic techniques from invariant theory for compact Lie groups. Formulae are introduced for the computation of dimensions of spaces of homogeneous anti-invariant polynomial functions and reversible-equivariant polynomial mapping. A symbolic algorithm is obtained for the computation of generators for the module of reversible-equivariant polynomial mapping over the ring of invariant polynomials.
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 5527487
reviewed by: A. P. Sadovskiĭ
describes a project that uses: SINGULAR
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.jpaa.2008.08.002
OpenAlex ID: W1978679034
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DOI: 10.1016/J.JPAA.2008.08.002
description: scientific article; zbMATH DE number 5527487