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Type: Artigo de periódico
Title: Semigroups in symmetric Lie groups
Author: dos Santos, LJ
San Martin, LAB
Abstract: Let G be a Lie group and L subset of G a Lie subgroup. We give necessary and sufficient conditions for a family of cosets of L to generate a subsemigroup with nonempty interior in G. We apply these conditions to symmetric pairs (G, L) where L is a subgroup of G such that G(0)(tau) subset of L subset of G' and r is an involutive 0 automorphism of G. As a consequence we prove that for several r the fixed point group G(tau) is a maximal semigroup.
Subject: semigroups
subgroup of fixed points
symmetric Lie groups
involutive automorphisms
flag manifolds
semi-simple Lie groups
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0019-3577(07)80011-5
Date Issue: 2007
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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