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We classify maps which preserve orthogonality on the Cayley projective plane over octonions. In addition, we also classify orthogonality preserving maps on finite dimensional projective spaces over reals, complexes, or… Click to show full abstract
We classify maps which preserve orthogonality on the Cayley projective plane over octonions. In addition, we also classify orthogonality preserving maps on finite dimensional projective spaces over reals, complexes, or quaternions. Unlike similar results which extend Uhlhorns’s theorem we assume neither injectivity/surjectivity nor that orthogonality is preserved in both directions.
Keywords:
orthomaps cayley;
characterization orthomaps;
cayley plane;
orthogonality;
plane
Journal Title: Aequationes mathematicae
Year Published: 2018
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Journal Title: Aequationes mathematicae
Year Published: 2018
Link to full text (if available)
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recommendations!