Projective lines over Jordan systems and geometry of Hermitian matrices |
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| Authors: | Andrea Blunck |
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| Institution: | a Department Mathematik, Universität Hamburg, Bundesstraße 55, D-20146 Hamburg, Germany
b Institut für Diskrete Mathematik und Geometrie, Technische Universität, Wiedner Hauptstraße 8-10/104, A-1040 Wien, Austria |
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| Abstract: | Any set of σ-Hermitian matrices of size n×n over a field with involution σ gives rise to a projective line in the sense of ring geometry and a projective space in the sense of matrix geometry. It is shown that the two concepts are based upon the same set of points, up to some notational differences. |
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| Keywords: | 251B05 15A57 51A50 |
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