Encyclopedia > Symplectic group

Article Content

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.

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

Thomas a Kempis

... he was sent to the school at Deventer conducted by the Brethren of the Common Life[?]. He became skilful as a copyist and was thus enabled to support himself. Later he ...