Adjacency preserving maps between exterior powers of vector spaces
Document Type
Article
Publication Date
4-1-2024
Abstract
In this paper, a structural characterization of adjacency preserving surjective maps between exterior powers of arbitrary vector spaces is established, which generalizes the fundamental theorem of the geometry of alternate matrices. © 2024 Elsevier Inc.
Keywords
Linear algebra, Adjacency preserving maps, Arbitrary vectors, Exterior power, Fundamental theorems, Geometry of matrices, Multivectors, Power, Rank, Structural characterization, Surjective, Vector spaces
Publication Title
Linear Algebra and its Applications
Recommended Citation
Lau, Jinting and Lim, Ming Huat, "Adjacency preserving maps between exterior powers of vector spaces" (2024). Research Publications (2021 to 2025). 5001.
https://knova.um.edu.my/research_publications_2021_2025/5001
Divisions
MathematicalSciences
Funders
Ministry of Higher Education Malaysia (MOHE) via Fundamental Research Grant Scheme [FRGS/1/2022/STG06/UM/02/7]
Volume
686
Publisher
Elsevier