A note on the CR cohomology of Levi-Flat minimal orbits in complex flag manifolds

Abstract

We prove a relation between the ∂M cohomology of a minimal orbit M of a real form G0 of a complex semisimple Lie group G in a flag manifold G/Q and the Dolbeault cohomology of the Matsuki dual open orbit X of the complexification K of a maximal compact subgroup K0 of G0, under the assumption that M is Levi-flat.

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