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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.
Rights: fechado
Identifier DOI: 
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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