Geodesic
Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$
Archivum mathematicum, Tome 44 (2008) no. 5, pp. 341-352

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 53C29, 53C50
Keywords: pseudo-hyper-Kählerian manifold of index 4; weakly irreducible holonomy group 
@article{ARM_2008__44_5_a1,
     author = {Bezvitnaya, Natalia I.},
     title = {Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$},
     journal = {Archivum mathematicum},
     pages = {341--352},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2501571},
     zbl = {1212.53071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a1/}
}
TY  - JOUR
AU  - Bezvitnaya, Natalia I.
TI  - Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$
JO  - Archivum mathematicum
PY  - 2008
SP  - 341
EP  - 352
VL  - 44
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a1/
LA  - en
ID  - ARM_2008__44_5_a1
ER  - 
%0 Journal Article
%A Bezvitnaya, Natalia I.
%T Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$
%J Archivum mathematicum
%D 2008
%P 341-352
%V 44
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a1/
%G en
%F ARM_2008__44_5_a1
Bezvitnaya, Natalia I. Weakly irreducible subgroups of $\mbox {Sp}(1,n+1)$. Archivum mathematicum, Tome 44 (2008) no. 5, pp. 341-352. http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a1/