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Type: Artigo de periódico
Title: Maximal semigroups in semi-simple Lie groups
Author: Martin, LABS
Abstract: The maximal semigroups with nonempty interior in a semi-simple Lie group with finite center are characterized as compression semigroups of subsets in the ag manifolds of the group. For this purpose a convexity theory, called here B-convexity, based on the open Bruhat cells is developed. It turns out that a semigroup with nonempty interior is maximal if and only if it is the compression semigroup of the interior of a B-convex set.
Subject: semigroups
semi-simple Lie groups
flag manifolds
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Date Issue: 2001
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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