Geometry of \(2 \times 2\) Hermitian matrices over any division ring

DOI10.1007/s11425-009-0070-2zbMath1184.15027OpenAlexW2266689609MaRDI QIDQ1047887

Li-Ping Huang

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0070-2

zbMATH Keywords

Hermitian matrixdivision ringfundamental theoremquasi-automorphism

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Combinatorial geometries and geometric closure systems (51D20) Finite-dimensional division rings (16K20)

Related Items (2)

Extending Hua's theorem on the geometry of matrices to Bézout domains ⋮ Good distance graphs and the geometry of matrices

Cites Work

• Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution
• Hua's fundamental theorem of the geometry of matrices.
• Geometry of skew-Hermitian matrices
• Hua's fundamental theorems of the geometry of matrices and related results
• Adjacency preserving mappings of symmetric and Hermitian matrices
• Geometry of block triangular matrices over a division ring
• Geometry of \(2\times 2\) Hermitian matrices
• Geometry of 2×2 Hermitian matrices II
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