Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/97248
Type: Artigo de periódico
Title: Semigroup Actions On Adjoint Orbits
Author: Do Rocio O.G.
Martin L.A.B.S.
Verdi M.A.
Abstract: Let G be a connected semi-simple Lie group with finite center and S ⊂ G a subsemigroup with intS ≠ φ. In this article we study the control sets for the actions of S on the adjoint orbits Ad(G)H, where H is a regular element in the Lie algebra of G. We show here that these sets can be described as sets of fixed points for regular elements in the interior of S . Moreover, we shall describe the domains of attraction of this control sets and show that these sets are not comparable with respect to the natural order on control sets. Mathematics Subject Classification 2000: 22F30. © 2012 Heldermann Verlag.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84862571238&partnerID=40&md5=60bc2c4f91c414c9fcd308254195e919
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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