Reversible-equivariant systems and matricial equations

2008/09/01 by Ricardo Miranda Martins, Martins, Ricardo Miranda, Marco Antonio Teixeira +1 · 1 citation
Mathematics · #15A24 #34C20 #37C80 #Dynamical Systems (math.DS) #FOS: Mathematics #Representation Theory (math.RT) #math.DS #math.RT #msc:15A24 #msc:34C20 #msc:37C80

paper · pdf · doi:10.48550/arxiv.0809.0299

Final submitted version. The section about first integrals was removed

arxiv created 2009/08/31 · arxiv updated 2009/12/01

Abstract

This paper uses tools in group theory and symbolic computing to give a classification of the representations of finite groups with order lower than 9 that can be derived from the study of local reversible-equivariant vector fields in \rn4. The results are obtained by solving algebraically matricial equations. In particular, we exhibit the involutions used in a local study of reversible-equivariant vector fields. Based on such approach we present, for each element in this class, a simplified Belitiskii normal form.

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