科研之友
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摘要
We evaluate the hyperpfaffian of a skew-symmetric k-ary polynomial f of degree k/2 . (n - 1). The result is a product of the Vandermonde product and a certain expression involving the coefficients of the polynomial f. The proof utilizes a sign reversing involution on a set of weighted, oriented partitions. When restricting to the classical case when k = 2 and the polynomial is (x(j) - x(i))(n-1), we obtain an identity due to Torelli.
- 出版日期2014-10-6
