Adjacency preserving maps between exterior powers of vector spaces

Lau, Jinting and Lim, Ming Huat (2024) Adjacency preserving maps between exterior powers of vector spaces. Linear Algebra and its Applications, 686. pp. 83-101. ISSN 0024-3795, DOI https://doi.org/10.1016/j.laa.2024.01.009.

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Official URL: https://doi.org/10.1016/j.laa.2024.01.009

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.

Item Type: Article
Funders: Ministry of Higher Education Malaysia (MOHE) via Fundamental Research Grant Scheme (FRGS/1/2022/STG06/UM/02/7)
Uncontrolled Keywords: Adjacency preserving maps; Multivectors; Exterior powers; Rank; Geometry of matrices
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 11 Nov 2024 06:09
Last Modified: 11 Nov 2024 06:09
URI: http://eprints.um.edu.my/id/eprint/45743

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