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Type: Artigo de periódico
Title: Homogeneous Spaces Admitting Transitive Semigroups
Author: San Martin L.A.B.
Abstract: Let G be a semi-simple Lie group with finite center and S ⊂ G a semigroup with int S ≠ Ø. A closed subgroup L ⊂ G is said to be S-admissible if S is transitive in G/L. In [10] it was proved that a necessary condition for L to be S-admissible is that its action in B (S) is minimal and contractive where B (S) is the flag manifold associated with S, as in [9]. It is proved here, under an additional assumption, that this condition is also sufficient provided S is a compression semigroup. A subgroup with a finite number of connected components is admissible if and only if its component of the identity is admissible, and if L is a connected admissible group then L is reductive and its semi-simple component E is also admissible. Moreover, E is transitive in B (S) which turns out to be a flag manifold of E. © 1998 Heldermann Verlag.
Rights: fechado
Identifier DOI: 
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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