Symplectic group
In 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.
Referenced By
List of Lie group topics | List of mathematical topics (S-U) | Symplectic geometry | Symplectic matrix | Symplectic space
|
