EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 61(75), pp. 114--118 (1997)

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Geometric interpretations of some Jordan algebras

Boris A. Rosenfeld

Department 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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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 6 Feb 2002.

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