David M. Bressoud

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Here and throughout this paper 191 is strictly less than one. Two new proofs of these identities have recently been announced. The first, by Lepowsky and Wilson [7], uses a Lie algebraic interpretation of the identities. The second, by Garsia and Milne (41, relies on the combinatorial interpretation and establishes the correspondence between the partitions(More)
Major Percy A. MacMahon’s first paper on plane partitions [4] included a conjectured generating function for symmetric plane partitions. This conjecture was proven almost simultaneously by George Andrews and Ian Macdonald, Andrews using the machinery of basic hypergeometric series [1] and Macdonald employing his knowledge of symmetric functions [3]. The(More)
By a plane partition, we mean a finite set, P , of lattice points with positive integer coefficients, {(i, j, k)} ⊆ N, with the property that if (r, s, t) ∈ P and 1 ≤ i ≤ r, 1 ≤ j ≤ s, 1 ≤ k ≤ t, then (i, j, k) must also be in P . A plane partition is symmetric if (i, j, k) ∈ P if and only if (j, i, k) ∈ P . The height of stack (i, j) is the largest value(More)