Geodesic
Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras
Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 377-389

Voir la notice de l'article provenant de la source Math-Net.Ru

The search for such regions is equivalent to the search for certain subalgebras in the Lie algebra of the group of transformations of a homogeneous space. The latter problem is solved for homogeneous spaces compared in a definite way with semisimple Jordan algebras. By a sequence of reductions, the problem is reduced to finding certain linear mappings of the Jordan algebra into itself. Conditions characterizing these mappings are obtained. Geometric consequences are given. Bibliography: 10 titles. 
@article{SM_1970_11_3_a5,
     author = {A. A. Rivilis},
     title = {Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple {Jordan} algebras},
     journal = {Sbornik. Mathematics},
     pages = {377--389},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_3_a5/}
}
TY  - JOUR
AU  - A. A. Rivilis
TI  - Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras
JO  - Sbornik. Mathematics
PY  - 1970
SP  - 377
EP  - 389
VL  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1970_11_3_a5/
LA  - en
ID  - SM_1970_11_3_a5
ER  - 
%0 Journal Article
%A A. A. Rivilis
%T Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras
%J Sbornik. Mathematics
%D 1970
%P 377-389
%V 11
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1970_11_3_a5/
%G en
%F SM_1970_11_3_a5
A. A. Rivilis. Homogeneous locally symmetric regions in homogeneous spaces associated with semisimple Jordan algebras. Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 377-389. http://geodesic.mathdoc.fr/item/SM_1970_11_3_a5/