Automorphisms and some geodesic properties of ortho-Grassmann graphs

DOI10.37236/10294zbMath1486.05320arXiv2103.05702OpenAlexW3135732801MaRDI QIDQ2121741

Krzysztof Petelczyc, M. A. Pankov, Mariusz Żynel

Publication date: 4 April 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05702

zbMATH Keywords

Chow's theoremfinite-rank self-adjoint operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Group actions on combinatorial structures (05E18)

Related Items (1)

Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators

Cites Work

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• Isometries of Grassmann spaces
• Generalized Grassmann graphs associated to conjugacy classes of finite-rank self-adjoint operators
• Wigner's theorem on Grassmann spaces
• On the geometry of algebraic homogeneous spaces
• Orthogonality of subspaces in metric-projective geometry
• Maps on the 𝑛-dimensional subspaces of a Hilbert space preserving principal angles
• Grassmannians of Classical Buildings
• Wigner-Type Theorems for Hilbert Grassmannians
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles

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