Products of positive definite symplectic matrices

• Main Author: Granario, Daryl Q.
• Format: text
• Published: Animo Repository 2020
• Subjects: Symplectic groups; Positive-definite functions; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/11358
• Institution: De La Salle University

We show that every symplectic matrix is a product of five positive definite symplectic matrices and five is the best in the sense that there are symplectic matrices which are not product of less. In Chapter 1, we provide a historical background and motivation behind the study. We highlight the impor...