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