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) |
(6) |
(7) |
See also Orthogonal Group, Special Linear Group, Special Orthogonal Group
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 Eric W. Weisstein