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A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts - MaRDI portal

A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts (Q2294107)

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A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts
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    A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts (English)
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    10 February 2020
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    Summary: We present a bijection between permutation matrices and descending plane partitions without special parts, which respects two of the statistics considered by \textit{W. H. Mills} et al. [J. Comb. Theory, Ser. A 34, 340--359 (1983; Zbl 0516.05016)], and an additional statistic considered by \textit{R. E. Behrend} et al. [ibid. 120, No. 2, 409--432 (2013; Zbl 1256.05031)].
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    alternating sign matrix
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    Jacobi identity
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