Geometry of Alternate Matrices over Bezout Domains

DOI10.1142/S1005386713000187zbMath1408.51005OpenAlexW2135466070MaRDI QIDQ4923895

Kang Zhao, Ying-Chun Li, Li-Ping Huang

Publication date: 27 May 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000187

zbMATH Keywords

adjacencyBézout domaingeometry of matricesalternate matrixmaximal adjacency set

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Combinatorial geometries and geometric closure systems (51D20)

Related Items (2)

On endomorphisms of alternating forms graph ⋮ Integral majorization type inequalities for the functions in the sense of strong convexity

Cites Work

• Preservers of pairs of bivectors with bounded distance
• Diameter preserving bijections between Grassmann spaces over Bezout domains
• Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices.
• Linear/additive preservers of rank 2 on spaces of alternate matrices over fields
• Geometry of skew-Hermitian matrices
• Additive preservers of rank on alternate matrix spaces over fields and applications
• Linear/additive preservers of ranks 2 and 4 on alternate matrix spaces over fields
• Geometry of \(2\times 2\) Hermitian matrices
• Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications
• Adjacency Preserving Maps on Hermitian Matrices

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