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We obtain explicit formulas for the enumeration of labelled parallelogram polyominoes. These are the polyominoes that are bounded, above and below, by northeast lattice paths going from the origin to a point (k, n). The numbers from 1 to n (the labels) are bijectively attached to the n north steps of the above-bounding path, with the condition that they… (More)

- Jeremy Leander, Martin, Nolan R Wallach, Mark Haiman, Adriano Garsia, Ronald Graham +2 others
- 2002

2002 iii To my wife, Jennifer Wagner, the point in my variety.

- Fran Cois Bergeron, Adriano Garsia, Glenn Tesler
- 2000

Let p 1 p n 0, and p = detkx p j i k n i;j=1. Let Mp be the linear span of the partial derivatives of p. Then Mp is a graded Sn-module. We prove that it is the direct sum of graded left regular representations of Sn. Speciically, set j = p j , n , j, and let t be the Hilbert polynomial of the span of all skew Schur functions s = as varies in. Then the… (More)

- Jeb Faulkner, Willenbring, Nolan R Wallach, Adriano Garsia, Mark Haiman, Aneesh Manohar +1 other
- 2000

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