Séminaire Lotharingien de Combinatoire, 85B.80 (2021), 12 pp.

Hans Höngesberg

Weight-Preserving Bijections between Integer Partitions and a Family of Alternating Sign Trapezoids

Abstract. We construct weight-preserving bijections between column strict shifted plane partitions with one row and alternating sign trapezoids with exactly one column in the left half that sums to 1. Amongst other things, it relates the number of -1s in the alternating sign trapezoids to certain entries in the column strict shifted plane partitions that generalise the notion of special parts in descending plane partitions.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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