Gradual transitivity in orthogonality spaces of finite rank

DOI10.1007/s00010-020-00756-9zbMath1498.46026arXiv2002.09290OpenAlexW3089893618MaRDI QIDQ2029455

Thomas Vetterlein

Publication date: 3 June 2021

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

Full work available at URL: https://arxiv.org/abs/2002.09290

zbMATH Keywords

Hilbert spaceorthogonality relationskew fieldHermitian formquantum physicsortholatticeorthogonality spacePythagorean fieldHermitian spaceordered fieldquadratic spaceArchimedean fieldbasic circulation group

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Bilinear and Hermitian forms (11E39) Quadratic spaces; Clifford algebras (11E88) Skew fields, division rings (12E15) Real and complex fields (12D99)

Related Items (5)

Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\) ⋮ Linear orthosets and orthogeometries ⋮ A characterisation of orthomodular spaces by Sasaki maps ⋮ Finitary prelinear and linear orthosets ⋮ Normal orthogonality spaces

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