Encyclopedia > Special unitary group

  Article Content

Special unitary group

In abstract algebra, the special unitary group of degree n over a field F (written as SU(n,F)) is the group of n by n unitary matrices with determinant 1 and entries from F, with the group operation that of matrix multiplication. This is a subgroup of the unitary group U(n,F), itself a subgroup of the general linear group Gl(n,F).

If the field F is the field of real or complex numbers, then the special unitary group SU(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
Humphreys County, Tennessee

... total area is 4.40% water. Demographics As of the census of 2000, there are 17,929 people, 7,238 households, and 5,146 families residing in the county. The populatio ...