Generalized Complex and Dirac Structures on Homogeneous Spaces

Abstract

We partially describe equivariant Dirac and generalized complex structures on a homogeneous space $G/K$ by giving equivalent data involving only the Lie algebra. We consider real semisimple adjoint orbits in any semisimple Lie algebra over $\mathbb{R}$ and real nilpotent orbits in $s{l}_n(\mathbb{R})$. We give a complete classification for Riemannian symmetric spaces and for a compact group modulo a closed, connected subgroup containing a Cartan subgroup.

Preprint

References in corpus (1)

• A-branes and Noncommutative Geometry

Cited by in corpus (2)

• Two Categories of Dirac Manifolds
• Dirac and Generalized Complex Structures on Cartan Geometries