Homogeneous quaternionic Kähler structures of linear type |
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Authors: | Marco Castrillón López Pedro M Gadea Andrew Swann |
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Institution: | 1. Department of Geometry and Topology, Faculty of Mathematics, Avda. Complutense s/n, 28040 Madrid, Spain;2. Institute of Mathematics and Fundamental Physics, CSIC, Serrano 144, 28006, Madrid, Spain;3. Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, DK 5230 Odense M, Denmark |
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Abstract: | A classification of homogeneous quaternionic Kähler structures by real tensors is given and related to Fino's representation theoretic decomposition. A relationship between the modules whose dimension grows linearly and quaternionic hyperbolic space is found. To cite this article: M. Castrillón López et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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