A bijective proof of the generating function for the number of reverse plane partitions via lattice paths |
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Authors: | Jeffrey B. Remmel Roger Whitney |
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Affiliation: | Department or Mathematics , University of California , San Diego La Iolla, California, 92093 |
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Abstract: | Recently, Hillman and Grassl gave a bijective proof for the generating function for the number of reverse plane partitions of a fixed shape λ. We give another bijective proof for this generating function via completelv different methods. Our bijection depends on a lattice path coding of reverse plane partitions and a new method for constructing bisections out of certain pairs of involutions due to Garsia and Milne. |
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