Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution

DOI10.1007/s10114-005-0770-7zbMath1106.14034OpenAlexW2095705286MaRDI QIDQ856824

Li-Ping Huang

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0770-7

zbMATH Keywords

adjacencygeometry of matricesdivision ring with involutionhermitian matrix

Mathematics Subject Classification ID

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

Related Items (9)

A note on adjacency preservers on Hermitian matrices over finite fields ⋮ Adjacency preservers, symmetric matrices, and cores ⋮ Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications ⋮ Coherence invariant maps on order-3 symmetric tensors ⋮ Good distance graphs and the geometry of matrices ⋮ Geometry of rectangular block triangular matrices ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices ⋮ Diameter preserving surjection on alternate matrices ⋮ Geometry of \(2 \times 2\) Hermitian matrices over any division ring

Cites Work

• Adjacency preserving mappings of symmetric and Hermitian matrices
• Additive maps preserving similarity of operators on Banach spaces
• Geometry of \(2\times 2\) Hermitian matrices
• Additive maps on matrix algebras preserving invertibility
• Geometry of symmetric matrices over any field with characteristic other than two
• The quaternion matrix equation ΣA i XB i =E
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