A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts
The electronic journal of combinatorics, Tome 27 (2020) no. 1
We present a bijection between permutation matrices and descending plane partitions without special parts, which respects two of the statistics considered by Mills, Robbins and Rumsey, and an additional statistic considered by Behrend, Di Francesco and Zinn–Justin.
DOI :
10.37236/8265
Classification :
05A05, 05A18, 05A19, 05B20, 15B36
Mots-clés : alternating sign matrix, Jacobi identity
Mots-clés : alternating sign matrix, Jacobi identity
Affiliations des auteurs :
Markus Fulmek  1
@article{10_37236_8265,
author = {Markus Fulmek},
title = {A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {1},
doi = {10.37236/8265},
zbl = {1432.05004},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8265/}
}
TY - JOUR AU - Markus Fulmek TI - A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts JO - The electronic journal of combinatorics PY - 2020 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.37236/8265/ DO - 10.37236/8265 ID - 10_37236_8265 ER -
%0 Journal Article %A Markus Fulmek %T A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts %J The electronic journal of combinatorics %D 2020 %V 27 %N 1 %U http://geodesic.mathdoc.fr/articles/10.37236/8265/ %R 10.37236/8265 %F 10_37236_8265
Markus Fulmek. A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8265
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