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A scalar expression for matrices with symplectic involution

A scalar expression for matrices with symplectic involution

Various algebraic reductions are made to facilitate computer verification of the following result: If <italic>x</italic> and <italic>y</italic> are <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="8 times 8"> <mml:semantics> <mml:mrow> <mml:mn>8</mml:mn> <mml:mo>×<!-- × --></mml:mo> <mml:mn>8</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">8 \times 8</mml:annotation> </mml:semantics> </mml:math> </inline-formula> matrices such that [<italic>x, y</italic>] is regular, <inline-formula content-type="math/mathml"> <mml:math …