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Type: Artigo de periódico
Title: Connected components of open semigroups in semi-simple Lie groups
Author: do Rocio, OG
San Martin, LAB
Abstract: This paper studies connected components of open subsemigroups of non-compact semi-simple Lie groups by using control sets in the flag manifolds and their coverings. The concept of recurrent component is introduced and a method is given by which their number can be computed. It is shown that the union of all recurrent components is a semigroup. The idea of mid-reversibility comes up to show that an open semigroup has just one semigroup component if the identity belongs to its closure. A necessary and sufficient condition for mid-reversibility is proved showing that e.g. in a complex group any open semigroup is mid-reversible.
Subject: semigroups
semi-simple Lie groups
flag manifolds
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00233-004-0105-5
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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