Séminaire Lotharingien de Combinatoire, 84B.76 (2020), 12 pp.

Hans Höngesberg

On a Fourfold Refined Enumeration of Alternating Sign Trapezoids

Abstract. Alternating sign trapezoids have recently been introduced as a generalization of alternating sign matrices. Fischer established a threefold refined enumeration of alternating sign trapezoids and provided three statistics on column strict shifted plane partitions with the same joint distribuition. We extend this result by another statistic that generalizes the number of -1's in alternating sign matrices.

Received: November 20, 2019. Accepted: February 20, 2020. Final version: April 30, 2020.

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