A factorization theorem for 4x4 symplectic matrices

• 主要作者: Hernandez, Mary Recylee D.
• 格式: text
• 語言: English
• 出版: Animo Repository 2023
• 主題: Factorization (Mathematics); Matrices; Mathematics
• 在線閱讀: https://animorepository.dlsu.edu.ph/etdm_math/9; https://animorepository.dlsu.edu.ph/context/etdm_math/article/1008/viewcontent/2023_Hernandez_A_factorization_theorem_for_4x4_symplectic_matrices_Full_text.pdf
• 機構: De La Salle University

Let A∈GL(n,ℂ). Let S1={β1,β2,...,βn} and S2={γ1,γ2,...,γn} be subsets of ℂ\{0}. We say that A realizes (S1,S2) if there exist B,C∈GL(n,ℂ) such that A=BC with σ(B)=S1 and σ(C)=S2. If both B,C are from a subgroup G≤GL(n,ℂ), we say that (S1,S2) is realized by A in G. Sourour showed that if S1={β1,β2,.....