Homogeneous Quaternionic Kähler Structures of Linear Type

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). 2003 Académie des sciences. Published by Elsevier SAS. All rights reserved.