Abstract
An explicit classification of homogeneous quaternionic Kahler structures by real tensors is derived and we relate this to the representation-theoretic description found by Fino. We then show how the quaternionic hyperbolic space ℍH(n) is characterised by admitting homogeneous structures of a particularly simple type. In the process we study the properties of different homogeneous models for ℍH(n).
Original language | English |
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Journal | Transformation Groups |
Volume | 11 |
Issue | 4 |
Pages (from-to) | 575-608 |
Number of pages | 34 |
ISSN | 1083-4362 |
DOIs | |
Publication status | Published - 1 Dec 2006 |
Externally published | Yes |