Abstract
Let be the identity matrix and . A matrix A is called symplectic if . A symplectic matrix A is a commutator of symplectic involutions if , where X and Y are symplectic matrices satisfying . In this article, we give necessary and sufficient condition for a symplectic matrix over the complex number field to be expressed as a product of two commutators of symplectic involutions.
Acknowledgements
The author thanks the referees for the many helpful comments which greatly improved the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).