Additive maps on rank K bivectors

• Main Authors: Chooi, Wai Leong, Kwa, Kiam Heong
• Format: Article
• Published: Int Linear Algebra Soc 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/37094/
• Institution: Universiti Malaya

Let u and v be linear spaces over fields F and K, respectively, such that dim u = n >= 2 and vertical bar F vertical bar >= 3. Let Lambda(2) u be the second exterior power of u. Fixing an even integer k satisfying n-1/2 <= k <= n, it is shown that a map psi: Lambda(2) u -> Lambda(2) v...