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. (c) 2024 Elsevier Inc. All rights reserved.
Keywords
Adjacency preserving maps, Multivectors, Exterior powers, Rank, Geometry of matrices
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). 4825.
https://knova.um.edu.my/research_publications_2021_2025/4825
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
Publisher Location
STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA