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Transitive subgroups of transvections acting on some symplectic symmetric spaces of Ricci type
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Cahen, M. (Michel), 1935-, Gutt, Simone, Malik, A and Rawnsley, John H. (John Howard), 1947-. (2011) Transitive subgroups of transvections acting on some symplectic symmetric spaces of Ricci type. Journal of Geometry and Physics, Vol.61 (No.8). pp. 1292-1308. ISSN 03930440
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Official URL: http://dx.doi.org/10.1016/j.geomphys.2011.02.016
Abstract
Symmetric symplectic spaces of Ricci type are a class of symmetric symplectic spaces which can be entirely described by reduction of certain quadratic Hamiltonian systems in a symplectic vector space. We determine, in a large number of cases, whether such a space admits a subgroup of its transvection group acting simply transitively. We observe that the simply transitive subgroups obtained are one-dimensional extensions of the Heisenberg group.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Symplectic spaces, Symplectic groups, Ricci flow |
| Journal or Publication Title: | Journal of Geometry and Physics |
| Publisher: | Elsevier Science BV |
| ISSN: | 03930440 |
| Date: | August 2011 |
| Volume: | Vol.61 |
| Number: | No.8 |
| Page Range: | pp. 1292-1308 |
| Identification Number: | 10.1016/j.geomphys.2011.02.016 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/38830 |
Data sourced from Thomson Reuters' Web of Knowledge
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