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.
- Miller-Askinuze Solid
- Miller Cylindrical Projection
- Miller's Algorithm
- Miller's Primality Test
- Miller's Solid
- Milliard
- Millin Series
- Million
- Mills' Constant
- Milne's Method
- Milnor's Conjecture
- Milnor's Theorem
- Minimal Cover
- Minimal Discriminant
- Minimal Matrix
- Minimal Residue
- Minimal Set
- Minimal Surface
- Minimax Approximation
- Minimax Polynomial
- Minimax Theorem
- Minimum
- Minkowski-Bouligand Dimension
- Minkowski Convex Body Theorem
- Minkowski Geometry