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Type: Artigo de periódico
Title: A rank-three condition for invariant (1,2)-symplectic almost Hermitian structures on flag manifolds
Author: Cohen, N
Negreiros, CJC
San Martin, LAB
Abstract: This paper considers invariant (1, 2)-symplectic almost Hermitian structures on the maximal flag manifod associated to a complex semi-simple Lie group G. The concept of cone-free invariant almost complex structure is introduced. It involves the rank-three subgroups of G, and generalizes the cone-free property for tournaments related to Sl (n, C) case. It is proved that the cone-free property is necessary for an invariant almost-complex structure to take part in an invariant (1, 2)-symplectic almost Hermitian structure. It is also sufficient if the Lie group is not B-1, 1 greater than or equal to 3, G(2) or F-4. For B-1 and F-4 a close condition turns out to be sufficient.
Subject: semi-simple Lie groups
flag manifolds
affine Weyl groups
Hermitian geometry
Country: EUA
Editor: Springer-verlag
Rights: fechado
Identifier DOI: 10.1007/s005740200002
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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