A Polynomial Expression for the Character of Diagonal Harmonics
Annals of Combinatorics, 2015.
05A1505E0505A19character of diagonal harmonicsMacdonald polynomialsMore(1+)
Based on his study of the Hilbert scheme from algebraic geometry, Haiman [Invent. Math. 149 (2002), pp. 371–407] obtained a formula for the character of the space of diagonal harmonics under the diagonal action of the symmetric group, as a sum of Macdonald polynomials with rational coefficients. In this paper we show how Haiman's formula,...More
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