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|Type:||Artigo de periódico|
|Title:||Order And Domains Of Attraction Of Control Sets In Flag Manifolds|
|Author:||San Martin L.A.B.|
|Abstract:||Let G be a real semi-simple noncompact Lie group and S ⊂ G a subsemigroup with int S ≠ Ø. This article relates the Bruhat-Chevalley order in the Weyl group W of G to the ordering of the control sets for S in the flag manifolds of G by showing that the one-to-one correspondence between the control sets and the elements of a double coset W (S) \W/W⊖ of W reverses the orders. This fact is used to show that the domain of attraction of a control set is a union of Schubert cells. © 1998 Heldermann Verlag.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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