This is equivalent to the special unitary group description.

In physics the special unitary group is used to represent bosonic symmetries.

The same holds for the action of the special unitary group on V(C)

This matrix subgroup is precisely the special unitary group SU(2).

In theories of symmetry breaking it is important to be able to find the subgroups of the special unitary group.

However, algorithms to produce Clebsch-Gordan coefficients for the Special unitary group are known.

Special unitary group, a term used in algebra, SU(n)

Such matrices form a Lie group called SU(2) (see special unitary group).

Examples include the special orthogonal group (which if n is 2 or 3 consists of all rotation matrices), and the special unitary group.

The special unitary groups and special orthogonal groups are root groups for all primes .

The special unitary group SU(n) is a real matrix Lie group of dimension n 1.

(See Special unitary group.)

The center of the special unitary group is the scalar matrices of the nth roots of unity:

The center of the special unitary group has order and consists of those unitary scalars which also have order dividing n.

The following maps are involutions of the Lie algebra of the special unitary group SU(n):

Projective special unitary group, PSU(n)

It is isomorphic to the symplectic group Sp(2,R) and the generalized special unitary group SU(1,1).

During 1960s, Rashid had closely worked with Abdus Salam's students to the field of SU(3) or Special unitary group.

For example, PΣU is used for the semilinear analogs of the projective special unitary group PSU.

A similar three angle decomposition applies to SU(2), the special unitary group of rotations in complex 2D space, with the difference that β ranges from 0 to 2π.

The projective special unitary group PSU(n) is equal to the projective unitary group, in contrast to the orthogonal case.

In particular, the circle group, the additive group Z of p-adic integers, compact special unitary groups SU(n) and all finite groups have property (T).

Popular choices for the unifying group are the special unitary group in five dimensions SU(5) and the special orthogonal group in ten dimensions SO(10).

The special unitary group of degree n, denoted SU(n), is the group of n x n unitary matrices with determinant 1.

For example, projective representations of the 3-dimensional rotation group, which is the special orthogonal group SO(3), are ordinary representations of the special unitary group SU(2).