| Title:
|
Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$ (English) |
| Author:
|
Bezvitnaya, Natalia I. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
341-352 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Connected weakly irreducible not irreducible subgroups of $\mbox {Sp}(1,n+1)\subset \mbox {SO}(4,4n+4)$ that satisfy a certain additional condition are classified. This will be used to classify connected holonomy groups of pseudo-hyper-Kählerian manifolds of index 4. (English) |
| Keyword:
|
pseudo-hyper-Kählerian manifold of index 4 |
| Keyword:
|
weakly irreducible holonomy group |
| MSC:
|
53C29 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 1212.53071 |
| idMR:
|
MR2501571 |
| . |
| Date available:
|
2009-01-29T09:15:47Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127121 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[8] Galaev, A. S.: Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidian spaces and Lorentzian holonomy groups.Rend. Circ. Mat. Palermo (2) Suppl. 79 (2006), 87–97. MR 2287128 |
| Reference:
|
[9] Galaev, A. S.: Metrics that realize all Lorentzian holonomy algebras.Internat. J. Geom. Meth. Modern Phys. 3 (5, 6) (2006), 1025–1045. Zbl 1112.53039, MR 2264404, 10.1142/S0219887806001570 |
| Reference:
|
[10] Joyce, D.: Compact manifolds with special holonomy.Oxford University Press, 2000. Zbl 1027.53052, MR 1787733 |
| Reference:
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| Reference:
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| . |
