Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

M. Castrillon Lopez; P. M. Gadea; A. F. Swann

doi:10.1007/s00031-005-1124-3

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 newspaper › Journal article › Research › peer-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 language	English
Journal	Transformation Groups
Volume	11
Issue	4
Pages (from-to)	575-608
Number of pages	34
ISSN	1083-4362
DOIs	https://doi.org/10.1007/s00031-005-1124-3
Publication status	Published - 1 Dec 2006
Externally published	Yes

Access to Document

10.1007/s00031-005-1124-3

Cite this

@article{a2eb171f1fbc4712a06cf497e921dae5,

title = "Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space",

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).",

author = "Lopez, {M. Castrillon} and Gadea, {P. M.} and Swann, {A. F.}",

year = "2006",

month = dec,

day = "1",

doi = "10.1007/s00031-005-1124-3",

language = "English",

volume = "11",

pages = "575--608",

journal = "Transformation Groups",

issn = "1083-4362",

publisher = "Springer Basel AG",

number = "4",

}

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 -

Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space

Abstract

Access to Document

Other files and links

Fingerprint

Cite this