Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68730
Type: Artigo de periódico
Title: On the number of control sets on projective spaces
Author: Barros, CJB
SanMartin, LAB
Abstract: The purpose of this paper is to provide an upper bound for the number of control sets for linear semigroups acting on a projective space RP(d-1). These semigroups and control sets were studied by Colonius and Kliemann (1993) who proved that there are at most d control sets. Here we apply the results of San Martin and Tonelli (1995) about control sets for semigroups in semisimple Lie groups and make a case by case analysis according to the transitive groups on RP(d-1) which were classified by Boothby and Wilson (1975, 1979) in order to improve that upper bound. It turns out that in some cases there are at most d/2 or d/4 control sets.
Subject: control set
projective space
transitive group
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/0167-6911(96)00047-3
Date Issue: 1996
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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