The special unitary group is the set of Unitary Matrices with
Determinant (having independent parameters). is Homeomorphic with the
Orthogonal Group . It is also called the Unitary Unimodular Group and is a Lie Group. The
special unitary group can be represented by the Matrix

(1) |

(2) |

(3) | |||

(4) | |||

(5) |

The order representation is

(6) |

(7) |

**References**

Arfken, G. ``Special Unitary Group, and - Homomorphism.''
*Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, pp. 253-259, 1985.

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A.
``The Groups , ,
, and
.'' §2.2 in
*Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups.* Oxford, England:
Clarendon Press, p. x, 1985.

© 1996-9

1999-05-26