Special Unitary Group
The special unitary group 
is the set of 
Unitary Matrices withDeterminant 
(having 
independent parameters). 
is Homeomorphic with theOrthogonal Group 
. It is also called the Unitary Unimodular Group and is a Lie Group. Thespecial unitary group can be represented by the Matrix
 | (1) |
and 
are the Cayley-Klein Parameters. The special unitary group may also be represented bythe Matrix | (2) |
 |  |  | (3) |
 | |  | (4) |
 | |  | (5) |
The order
representation is | |
 | (6) |
. The Character is given by | |  | |
|  | (7) |
See also Orthogonal Group, Special Linear Group, Special Orthogonal Group
References
Arfken, G. ``Special Unitary Group, Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. ``The Groups and -
Homomorphism.'' Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 253-259, 1985.
, , 
, and 
.'' §2.2 in Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England: Clarendon Press, p. x, 1985.
- Well-Ordering Principle
- Werner Formulas
- Weyl's Criterion
- Weyl Tensor
- Weyrich's Formula
- W-Function
- Wheat and Chessboard Problem
- Wheel
- Wheel Graph
- Wheel Paradox
- Whewell Equation
- Whipple's Transformation
- Whirl
- Whisker Plot
- Whitehead Double
- Whitehead Link
- Whitehead Manifold
- Whitehead's Theorem
- Whitney-Graustein Theorem
- Whitney-Mikhlin Extension Constants
- Whitney Singularity
- Whitney Sum
- Whitney Umbrella
- Whittaker Differential Equation
- Whittaker Function