The Smith normal form of a specialized Jacobi-Trudi matrix
نویسنده
چکیده
Let JTλ be the Jacobi-Trudi matrix corresponding to the partition λ, so det JTλ is the Schur function sλ in the variables x1, x2, . . . . Set x1 = · · · = xn = 1 and all other xi = 0. Then the entries of JTλ become polynomials in n of the form ( n+j−1 j ) . We determine the Smith normal form over the ring Q[n] of this specialization of JTλ . The proof carries over to the specialization xi = q i−1 for 1 ≤ i ≤ n and xi = 0 for i > n, where we set q n = y and work over the ring Q(q)[y].
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عنوان ژورنال:
- Eur. J. Comb.
دوره 62 شماره
صفحات -
تاریخ انتشار 2017