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Symplectic groupIn abstract algebra, the symplectic group of degree 2n over a field F (written as Sp(n,F)) is the group of 2n by 2n symplectic matrices with entries from F, with the group operation that of matrix multiplication. This is a subgroup of the general linear group Gl(n,F).If the field F is the field of real or complex numbers, then the symplectic group Sp(n,F) is a Lie group. See also Symplectic space. 
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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Symplectic group".