On a fourfold refined enumeration of alternating sign trapezoids

Hans Höngesberg

On a fourfold refined enumeration of alternating sign trapezoids

Hans Höngesberg

Department of Mathematics

Publications: Contribution to journal › Meeting abstract/Conference paper › Peer Reviewed

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.

Original language	English
Article number	76
Number of pages	12
Journal	Seminaire Lotharingien de Combinatoire
Volume	84B
Publication status	Published - 2020

Austrian Fields of Science 2012

101012 Combinatorics

Cite this

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title = "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.",

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T1 - On a fourfold refined enumeration of alternating sign trapezoids

AU - Höngesberg, Hans

PY - 2020

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N2 - 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.

AB - 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.

UR - https://www.mat.univie.ac.at/~slc/

M3 - Meeting abstract/Conference paper

VL - 84B

JO - Seminaire Lotharingien de Combinatoire

JF - Seminaire Lotharingien de Combinatoire

SN - 1286-4889

M1 - 76

ER -

On a fourfold refined enumeration of alternating sign trapezoids

Abstract

Austrian Fields of Science 2012

Other files and links

A fourfold refined enumeration of alternating sign trapezoids and column strict shifted plane partitions