(Z/2Z x Z/2Z)-symmetric spaces
| dc.creator | Bahturin, Yuri | |
| dc.creator | Goze, Michel | |
| dc.date | 2006-12-04 | |
| dc.date | 2008-02-09 | |
| dc.date.accessioned | 2026-07-07T09:19:24Z | |
| dc.date.available | 2026-07-07T09:19:24Z | |
| dc.description | The notion of a $Γ$-symmetric space is a generalization of the classical notion of a symmetric space, where a general finite abelian group $Γ$ replaces the group $Z_2$. The case $Γ=\Z_k$ has also been studied, from the algebraic point of view by V.Kac \cite{VK} and from the point of view of the differential geometry by Ledger, Obata, Kowalski or Wolf - Gray in terms of $k$-symmetric spaces. In this case, a $k$-manifold is an homogeneous reductive space and the classification of these varieties is given by the corresponding classification of graded Lie algebras. The general notion of a $Γ$-symmetric space was introduced by R.Lutz. We approach the classification of such spaces in the case $Γ=Z_2^2$ using recent results on the classification of complex $Z_2^2$-graded simple Lie algebras. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612098 | |
| dc.identifier | http://arxiv.org/abs/math/0612098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154377 | |
| dc.subject | Differential Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 53C30; 53C35; 17B20 | |
| dc.title | (Z/2Z x Z/2Z)-symmetric spaces | |
| dc.type | text |