Adjacency preserving maps on symmetric tensors

• Main Authors: Chooi, Wai Leong, Lau, Jinting
• Format: Article
• Published: Elsevier 2024
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/45418/; https://doi.org/10.1016/j.laa.2024.02.029
• Institution: Universiti Malaya

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...