Chooi, Wai Leong and Lau, Jinting (2024) Adjacency preserving maps on symmetric tensors. Linear Algebra and its Applications, 690. pp. 27-58. ISSN 0024-3795, DOI https://doi.org/10.1016/j.laa.2024.02.029.
Full text not available from this repository.Abstract
Let r and s be positive integers such that r 2. Let U and V be vector spaces over fields F and K, respectively, such that dim U 3 and F has at least r + 1 elements. In this paper, we characterize surjective maps psi : S r U -> S s V preserving adjacency in both directions on symmetric tensors of finite order, which generalizes Hua's fundamental theorem of geometry of symmetric matrices. We give examples showing the indispensability of the assumptions dim U 3 and the cardinality | F| r + 1 in our result. (c) 2024 Published by 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: | Adjacency preserving map; Symmetric tensor; Symmetric 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: | 21 Oct 2024 04:31 |
| Last Modified: | 21 Oct 2024 04:31 |
| URI: | http://eprints.um.edu.my/id/eprint/45418 |
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