Definition:Special Unitary Group

Definition
Let $n$ be a positive integer.

The special unitary group $\operatorname{SU}_n$ is the group of all $n\times n$ unitary matrices with determinant $1$:
 * $\operatorname{SU}_n = \operatorname{U}_n \cap \operatorname{SL}_n(\C)$

Also see

 * Definition:Unitary Group
 * Definition:Special Orthogonal Group