Homogeneous spaces, multi‐moment maps and (2,3)‐trivial algebras

@article{Madsen2011HomogeneousSM,
  title={Homogeneous spaces, multi‐moment maps and (2,3)‐trivial algebras},
  author={Thomas Bruun Madsen and A. Swann},
  journal={arXiv: Differential Geometry},
  year={2011},
  volume={1360},
  pages={51-62}
}
  • Thomas Bruun Madsen, A. Swann
  • Published 2011
  • Mathematics, Physics
  • arXiv: Differential Geometry
  • For geometries with a closed three‐form we briefly overview the notion of multi‐moment maps. We then give concrete examples of multi‐moment maps for homogeneous hypercomplex and nearly Kahler manifolds. A special role in the theory is played by Lie algebras with second and third Betti numbers equal to zero. These we call (2,3)‐trivial. We provide a number of examples of such algebras including a complete list in dimensions up to and including five. 
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