Geometry of skew-Hermitian matrices

DOI10.1016/j.laa.2004.08.030zbMath1068.15023OpenAlexW2069193460MaRDI QIDQ1763828

Li-Ping Huang, Zhe-Xian Wan

Publication date: 22 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.030

zbMATH Keywords

rankmaximal setGeometry of matricesAdjacencyDivision ring of generalized quaternionsDivision ring with an involutionSkew-Hermitian matrix

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Combinatorial geometries and geometric closure systems (51D20)

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Weighted binary relations involving the Drazin inverse ⋮ A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse ⋮ Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications ⋮ Geometry of Alternate Matrices over Bezout Domains ⋮ Geometry of rectangular block triangular matrices ⋮ Geometry of block triangular matrices over a division ring ⋮ Geometry of \(2 \times 2\) Hermitian matrices over any division ring

Cites Work

• Adjacency preserving mappings of symmetric and Hermitian matrices
• Geometry of \(2\times 2\) Hermitian matrices
• Geometry of symmetric matrices over any field with characteristic other than two
• Geometries of Matrices. II. Study of Involutions in the Geometry of Symmetric Matrices
• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices
• Geometries of Matrices. I 1 Arithmetical Construction
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