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

Shoreham, New York

... racial makeup of the village is 95.20% White, 0.00% African American, 0.00% Native American, 2.40% Asian, 0.00% Pacific Islander, 2.16% from other races, and 0.24% from two ...