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
1904

... to make a political recording of a document, using Thomas Edison's cylinder. March 4 - Russo-Japanese War: Russian troops in Korea retreat toward Manchuria followed by ...

 
 
 
This page was created in 38.2 ms