The isotropy representation of a real flag manifold: Split real forms

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Autor(es):	Patrao, Mauro ^[1] ; San Martin, Luiz A. B. ^[2] Número total de Autores: 2
Afiliação do(s) autor(es):	^[1] Univ Fed Brasilia, Dept Math, Brasilia, DF - Brazil ^[2] Univ Estadual Campinas, Inst Math, Campinas, SP - Brazil Número total de Afiliações: 2
Tipo de documento:	Artigo Científico
Fonte:	INDAGATIONES MATHEMATICAE-NEW SERIES; v. 26, n. 3, p. 547-579, MAY 2015.
Citações Web of Science:	1
Resumo
We study the isotropy representation of real flag manifolds associated to simple Lie algebras that are split real forms of complex simple Lie algebras. For each Dynkin diagram the invariant irreducible subspaces for the compact part of the isotropy subgroup are described. Contrary to the complex flag manifolds the decomposition into irreducible components is not unique in general. In other words there are cases with infinitely many invariant subspaces. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved. (AU)

Processo FAPESP:	12/18780-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
Beneficiário:	Marco Antônio Teixeira
Modalidade de apoio:	Auxílio à Pesquisa - Temático