| For example, A(5 + z −1 Let 1 + z3 1z −2 (2008) | |||||||||||||
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| is defined by: A(P)(z1,..., zn) = � (−1) inv(π) P (zπ(1),..., zπ(n)), π∈Sn where Sn is the group of permutations on {1,..., n} and inv(π) is the number of inversions of π (the number of pairs 1 ≤ i < j ≤ n such that π(i)> π(j)). Define the negativizer of P, N (P), to be the polynomial in z −1 | |||||||||||||
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