Characterization of orthomaps on the Cayley plane

DOI10.1007/s00010-017-0532-5zbMath1406.51001OpenAlexW2793378176MaRDI QIDQ2413323

Nik Stopar, Bojan Kuzma, Gregor Dolinar

Publication date: 10 April 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0532-5

zbMATH Keywords

projective spacequaternionsorthogonalityoctonionsAlbert algebraCayley planecollinearityUhlhorns's theorem

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quadratic and bilinear forms, inner products (15A63) Classical or axiomatic geometry and physics (51P05) Non-Desarguesian affine and projective planes (51A35) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (7)

Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Characterization of orthomaps on the Cayley plane ⋮ The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras ⋮ On doubly alternative zero divisors in Cayley-Dickson algebras ⋮ Relationship graphs of real Cayley-Dickson algebras ⋮ Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces ⋮ Orthomaps on formally real simple Jordan algebras

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