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arXiv · 1303.7076

Projective lines over Jordan systems and geometry of Hermitian matrices

Andrea Blunck·Hans Havlicek
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Abstract

Any set of $\sigma$-Hermitian matrices of size $n \times n$ over a field with involution $\sigma$ 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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Andrea Blunck, Hans Havlicek. 2013-03-28. Projective lines over Jordan systems and geometry of Hermitian matrices. https://doi.org/10.1016/j.laa.2010.03.037

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