Staircase Macdonald polynomials and the q-Discriminant
نویسنده
چکیده
We prove that a q-deformation Dk(X; q) of the powers of the discriminant is equal, up to a normalization, to a specialization of a Macdonald polynomial indexed by a staircase partition. We investigate the expansion of Dk(X; q) on different basis of symmetric functions. In particular, we show that its expansion on the monomial basis can be explicitly described in terms of standard tableaux and we generalize a result of KingToumazet-Wybourne about the expansion of the q-discriminant on the Schur basis.
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تاریخ انتشار 2008