Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications

DOI10.1080/00927870801951977zbMath1144.14041OpenAlexW2163082165MaRDI QIDQ3514772

Li-Ping Huang

Publication date: 23 July 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870801951977

zbMATH Keywords

Hermitian matricesadjacencyJordan isomorphismdivision ring with involution

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Classical groups (algebro-geometric aspects) (14L35) Combinatorial geometries and geometric closure systems (51D20)

Related Items (6)

A note on adjacency preservers on Hermitian matrices over finite fields ⋮ Extending Hua's theorem on the geometry of matrices to Bézout domains ⋮ Adjacency preservers, symmetric matrices, and cores ⋮ Geometry of Alternate Matrices over Bezout Domains ⋮ Good distance graphs and the geometry of matrices ⋮ Geometry of rectangular block triangular matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution
• Hermitian forms over ordered *-fields
• Geometry of skew-Hermitian matrices
• On the fundamental theorems of the geometries of symmetric matrices
• 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
• Geometry of 2×2 Hermitian matrices II
• Finite-Dimensional Division Algebras over Fields

This page was built for publication: Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications