Homogeneous hypercomplex structures. I: The compact Lie groups

DOI10.1007/s00031-016-9367-8zbMath1348.22018arXiv1005.0172OpenAlexW1577499415WikidataQ59468931 ScholiaQ59468931MaRDI QIDQ326357

Mohammad Hasan, M. Dambrine

Publication date: 12 October 2016

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0172

zbMATH Keywords

Lie algebraLie groupadmissible structurealmost hypercomplex structurestem of the root system

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Root systems (17B22)

Related Items (4)

A remark on the quaternionic Monge-Ampère equation on foliated manifolds ⋮ Homogeneous hypercomplex structures. I: The compact Lie groups ⋮ Homogeneous hypercomplex structures. II: Coset spaces of compact Lie groups ⋮ Poisson structures on twistor spaces of hyperkähler and HKT manifolds

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