On the Determinant of Symplectic Matrices ∗

  title={On the Determinant of Symplectic Matrices ∗},
  author={D. Steven Mackey and Niloufer Mackey},
A collection of new and old proofs showing that the determinant of any symplectic matrix is +1 is presented. Structured factorizations of symplectic matrices play a key role in several arguments. A constructive derivation of the symplectic analogue of the Cartan-Dieudonné theorem is one of the new proofs in this essay. 

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