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Question: Group Theory Woes

Question:Group Theory Woes

dcasimir 1212
November 02 2007
0
Show that an n x n unitary matrix has n^2 - 1 independent parameters. {Hint: Each element may be complex, doubling the number of possible parameters. Some of the constraint equations are likewise complex and count as two coordinates.} Next Question: The special linear group SL(2) consists of all 2 x 2 matrices (with complex elements) having a determinant of +1. Show that such matrices form a group. {Note: The SL(2) group can be related to the full Lorentz group in Section 4.4, much as the SU(2) group is related to SO(3). Taken from "Mathematical Methods For Physicists", Arfken and Weber. Please Help, v/r, dc
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