Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

TY - JOUR

T1 - Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

AU - Lopez, M. Castrillon

AU - Gadea, P. M.

AU - Swann, A. F.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=33847665231&partnerID=8YFLogxK

U2 - 10.1007/s00031-005-1124-3

DO - 10.1007/s00031-005-1124-3

M3 - Journal article

AN - SCOPUS:33847665231

SN - 1083-4362

VL - 11

SP - 575

EP - 608

JO - Transformation Groups

JF - Transformation Groups

IS - 4

ER -