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|Type:||Artigo de periódico|
|Title:||On the number of control sets on projective spaces|
|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.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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