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|Type:||Artigo de periódico|
|Title:||Transitive actions of semigroups in semi-simple Lie groups|
|Author:||San Martin, LAB|
|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.|
|Citation:||Semigroup Forum. Springer Verlag, v. 58, n. 1, n. 142, n. 151, 1999.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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