Products of symplectic normal matrices

• Main Authors: de la Cruz, Ralph John, Granario, Darryl Q.
• Format: text
• Published: Animo Repository 2018
• Subjects: Matrices; Symplectic groups; Decomposition (Mathematics); Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/11357
• Institution: De La Salle University

A matrix A ∈ M2n(C) is symplectic if AT 0 In −In 0 A = 0 In −In 0We show that every symplectic matrix is a product of a symplectic unitary and a symplectic skew-Hermitian matrix. We show that every symplectic matrix is a product of four symplectic skew-Hermitian matrices or a product of four symplec...