Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/79786
Type: Artigo de periódico
Title: Reversibility properties of semigroup actions on homogeneous spaces
Author: dos Reis, RA
Martin, LABS
Abstract: This paper studies reversibility of subsemigroups acting on homogeneous spaces. The reversor set of a subsemigroup is defined and it is related to the invariant control sets for semigroups acting on certain homogeneous spaces. Let G be a connected noncompact semi-simple Lie group with finite center. Let L be a subgroup of G. Assume that S is a subsemigroup of G with intS not equal empty set. The main result characterizes the reversibility of the S-action on G/L in terms of the actions of S and L on the flag manifolds of G.
Subject: Semigroups
Semi-simple Lie groups
Reversibility
Flag manifold
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00233-012-9375-5
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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