PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 61(75), pp. 114--118 (1997)
Geometric interpretations of some Jordan algebras
Boris A. RosenfeldDepartment of Mathematics, Pennsylvania State University, USA
Abstract: Geometric interpretations of Hermitian elliptic spaces whose groups of motions are compact simple Lie groups by means of Jordan algebras are constructed. In particular these results are applied to planes whose groups of motions are exceptional simple Lie groups $E_6$, $E_7$, and $E_8$, and to symmetry figures in these planes.
Classification (MSC2000): 53C35
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