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Mar 25, 2011 at 15:59 comment added ARupinski Actually my first thought on seeing this problem was to find some linear form such that the elements of $S$ were in the kernel of this form and then check whether $[u\otimes v,\{w,x\}]$ was also in the kernel, but I didn't see how to find the form without computer help, so I just went with the brute force method instead. I really like this solution. As for my answer not getting more votes, it really doesn't bother me too much.
Mar 25, 2011 at 10:00 history answered darij grinberg CC BY-SA 2.5