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|Title:||De Rham 2-cohomology of real flag manifolds|
|Author:||Del Barco, V.|
San Martin, L.A.B.
|Abstract:||Let FΘ = G/PΘ be a flag manifold associated to a non-compact real simple Lie group G and the parabolic subgroup PΘ. This is a closed subgroup of G determined by a subset Θ of simple restricted roots of g = Lie(G). This paper computes the second de Rham cohomology group of FΘ. We prove that it is zero in general, with some rare exceptions. When it is non-zero, we give a basis of H2(FΘ, R) through the Weil construction of closed 2-forms as characteristic forms of principal fiber bundles. The starting point is the computation of the second homology group of FΘ with coefficients in a ring R.|
|Editor:||Natsional'na Akademiya Nauk Ukrainy/Instytut Matematyky|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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