Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/100632
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.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-22444454173&partnerID=40&md5=0a7c14ecb7144ca8dc646245211c079a
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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