Kwa, Kiam Heong (2024) Coherence invariant maps on order-3 symmetric tensors. Linear and Multilinear Algebra, 72 (4). pp. 597-614. ISSN 0308-1087, DOI https://doi.org/10.1080/03081087.2022.2160424.
Full text not available from this repository.Abstract
In 1940s, Hua established the fundamental theorems of geometry of rectangular matrices, symmetric matrices, skew-symmetric matrices, and hermitian matrices. In 1950s, Jacob generalized Hua's theorems to that of order-2 tensors and symmetric tensors. We extend Jacob's work to maps of order-3 symmetric tensors over C by proving that every surjective coherence invariant map on order-3 symmetric tensors over C is induced by a semilinear isomorphism apart from an additive constant.
| Item Type: | Article |
|---|---|
| Funders: | Ministry of Higher Education, Malaysia [Grant no. FRGS/1/2019/STG06/UM/02/1] |
| Uncontrolled Keywords: | Symmetric tensors; Symmetric rank; Coherence invariant; Adjacency preserving |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 14 Aug 2024 07:50 |
| Last Modified: | 14 Aug 2024 07:50 |
| URI: | http://eprints.um.edu.my/id/eprint/46082 |
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