Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/77590
Type: Artigo de periódico
Title: Transitive actions of semigroups in semi-simple Lie groups
Author: San Martin, LAB
Tonelli, PA
Abstract: Let G be a connected semi-simple Lie group with finite center and S subset of G a semigroup with interior points. It is proved that S is transitive on a homogeneous space G/L only if the action of L on B is minimal and contracting, where B = G/P is the flag manifold of G associated with S. In [5, Thm.6.4] the authors claimed another necessary condition in case G is simple, namely, that L is discrete. It is shown by means of an example that this condition is wrong without the further assumption that G/L is compact.
Country: EUA
Editor: Springer Verlag
Rights: fechado
Identifier DOI: 10.1007/s002339900004
Date Issue: 1999
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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