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Questions about the branch of algebra that deals with groups.
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If you take a standard representation of a symmetric group, take an alternating tensor power...
I take back (3) (and partial (2) as well)! Let $C(r,n)$ be the set of all $r$-combinations of {$ 1,2, \dots, n$}, which has the natural order. $\wedge ^r(V)$ is a signed permutation representation of …