hmmm.
couple fo things:
(i) what happened with my LaTeX? e.g. [latex]R_{abc}^{d}[/latex]. how do i get the d to come after abc?
(ii) to prove that [latex]R_{abcd}=R_{cdab}[/latex] how do i switch the ab with the cd?
(iii) i dont understand your anti symmertrisation thing. surely for the n=3 case, [latex]S_n=3!=6 and so it should be 1/6 and then there will be 6 terms in the brackets? also how do u decide the sign of a permutation?
