A bijection between permutation matrices and descending plane partitions without special parts, which respects the quadruplet of statistics considered by Behrend, Di Francesco and Zinn--Justin

Abstract

We present a bijection between permutation matrices and descending plane partitions without special parts, which respects the quadruple of statistics considered by Behrend, Di Francesco and Zinn--Justin. This bijection involves the inversion words of permutations and the "usual" representation of descending plane partitions as families of non--intersec\-ting lattice paths.

arXiv admin note: text overlap with arXiv:1605.01227

References in corpus (3)

• On the weighted enumeration of alternating sign matrices and descending plane partitions
• A doubly-refined enumeration of alternating sign matrices and descending plane partitions
• A Natural Bijection between Permutations and a Family of Descending Plane Partitions