Lau, Jinting and Lim, Ming Huat (2024) Adjacency preserving maps between exterior powers of vector spaces. Linear Algebra and its Applications, 686. 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. © 2024 Elsevier Inc.
| Item Type: | Article |
|---|---|
| Funders: | Ministry of Higher Education Malaysia (MOHE) via Fundamental Research Grant Scheme [FRGS/1/2022/STG06/UM/02/7] |
| Uncontrolled Keywords: | Linear algebra; Adjacency preserving maps; Arbitrary vectors; Exterior power; Fundamental theorems; Geometry of matrices; Multivectors; Power; Rank; Structural characterization; Surjective; Vector spaces |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 11 Jul 2024 00:31 |
| Last Modified: | 11 Jul 2024 00:31 |
| URI: | http://eprints.um.edu.my/id/eprint/44735 |
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