Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\)

DOI10.1007/s10711-022-00696-5zbMath1496.81024OpenAlexW4280609406MaRDI QIDQ2143550

Thomas Vetterlein

Publication date: 31 May 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-022-00696-5

zbMATH Keywords

real Hilbert spaceorthogonality spaceHermitian spacedivisibly transitive orthosethomogeneously transitive orthosetorthosetpositive definite quadratic space

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) Quadratic spaces; Clifford algebras (11E88) Almost homogeneous manifolds and spaces (32M12)

Related Items (4)

The geometry of discrete \(L\)-algebras ⋮ Linear orthosets and orthogeometries ⋮ A characterisation of orthomodular spaces by Sasaki maps ⋮ Finitary prelinear and linear orthosets

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