Abstract
A matrix A is symplectic if where
A symplectic matrix A is a commutator of symplectic involutions if
where X and Y are symplectic and
In this article, we prove that every complex symplectic matrix of size greater than 2 can be decomposed into a product of at most three commutators of involutions.
Communicated by Miriam Cohen
Acknowledgment
The author thanks the referee for the careful examination and helpful suggestions.