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Comptes Rendus Mathématique
Volume 338, n° 1
pages 65-70 (janvier 2004)
Doi : 10.1016/j.crma.2003.10.035
Received : 10 August 2003 ;  accepted : 31 October 2003
Homogeneous quaternionic Kähler structures of linear type

Marco  Castrillón López a ,  Pedro M.  Gadea b ,  Andrew  Swann c
aDepartment of Geometry and Topology, Faculty of Mathematics, Avda. Complutense s/n, 28040 Madrid, Spain 
bInstitute of Mathematics and Fundamental Physics, CSIC, Serrano 144, 28006, Madrid, Spain 
cDepartment of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, DK 5230 Odense M, Denmark 

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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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Nous donnons une classification des structures kählériennes quaternioniennes homogènes en termes de tenseurs réels, ainsi qu'une rélation avec la décomposition donnée par Fino en utilisant la théorie des représentations. Nous donnons aussi une rélation entre les modules ayant dimension à croissance linéaire et l'espace hyperbolique quaternionien. Pour citer cet article : M. Castrillón López et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004).




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