Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

M. Castrillon Lopez*, P. M. Gadea, A. F. Swann

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

12 Citations (Scopus)

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 languageEnglish
JournalTransformation Groups
Volume11
Issue4
Pages (from-to)575-608
Number of pages34
ISSN1083-4362
DOIs
Publication statusPublished - 1 Dec 2006
Externally publishedYes

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