De Rham 2-Cohomology of Real Flag Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: del Barco, V., San Martín, L.A.B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210244
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: De Rham 2-Cohomology of Real Flag Manifolds / V. del Barco, L.A.B. San Martin // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 12 назв. — англ.

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 zer...