English

Complex Dirac structures with constant real index on flag manifolds

Differential Geometry 2023-06-02 v2

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 BB-transformations.

Cite

@article{arxiv.2304.05158,
  title  = {Complex Dirac structures with constant real index on flag manifolds},
  author = {Cristian Ortiz and Carlos Varea},
  journal= {arXiv preprint arXiv:2304.05158},
  year   = {2023}
}
R2 v1 2026-06-28T09:59:29.108Z