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Type: Artigo de periódico
Title: Sernigroup Actions on Adjoint Orbits
Author: do Rocio, OG
San Martin, LAB
Verdi, MA
Abstract: Let G be a connected semi-simple Lie group with finite center and S subset of G a subsemigroup with intS not equal empty set. 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.
Subject: Semigroup
adjoint orbits
regular elements
Country: Alemanha
Editor: Heldermann Verlag
Rights: fechado
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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