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Symplectic Group

  • Definition: The symplectic group is the group of real matrices that preserve the ske-symmetric form (X^t)SY on R^(2n), where S=[0, I; -I 0], SP_(2n) = {P in the general linear group 2n of R|(P^t)SP=S}.

    Source: Algebra, second edition by Michael Artin

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