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Complex Dirac structures with constant real index on flag manifolds (2304.05158v2)
Published 11 Apr 2023 in math.DG
Abstract: In this paper we describe all invariant complex Dirac structures with constant real index on a maximal flag manifold in terms of the roots of the Lie algebra which defines the flag manifold. We also completely classify these structures under the action of $B$-transformations.
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