Geodesic
Spaces With Exceptional Fundamental Groups
Publications de l'Institut Mathématique, _N_S_54 (1993) no. 68, p. 97 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The geometric interpretations of all real exceptional simple Lie groups of classes $G_2$, $F_4$, $E_6$, $E_7$ and $E_8$ are described. In particular, we describe the interpretations of the four last classes as groups of motions of elliptic and hyperbolic planes over algebras of octaves and split octaves and over tensor products of them and algebras of usual and split complex numbers, quaternions and octaves. The explicite expressions of motions of these planes are found. The symmetry figures and parabolic figures of all considered spaces and geometric interpretations of all fundamental linear representations of real exceptional simple Lie groups are found.
Classification : 51F99 53C35 22E46 
@article{PIM_1993_N_S_54_68_a13,
     author = {Boris A. Rosenfeld},
     title = {Spaces {With} {Exceptional} {Fundamental} {Groups}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {97 },
     publisher = {mathdoc},
     volume = {_N_S_54},
     number = {68},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a13/}
}
TY  - JOUR
AU  - Boris A. Rosenfeld
TI  - Spaces With Exceptional Fundamental Groups
JO  - Publications de l'Institut Mathématique
PY  - 1993
SP  - 97 
VL  - _N_S_54
IS  - 68
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a13/
LA  - en
ID  - PIM_1993_N_S_54_68_a13
ER  - 
%0 Journal Article
%A Boris A. Rosenfeld
%T Spaces With Exceptional Fundamental Groups
%J Publications de l'Institut Mathématique
%D 1993
%P 97 
%V _N_S_54
%N 68
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a13/
%G en
%F PIM_1993_N_S_54_68_a13
Boris A. Rosenfeld. Spaces With Exceptional Fundamental Groups. Publications de l'Institut Mathématique, _N_S_54 (1993) no. 68, p. 97 . http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a13/