We study the weighted partition function for lozenge tilings, with weights given by multivariate rational functions originally defined by Morales, Pak and Panova (2019) in the context of the factorial Schur functions. We prove that this partition function is symmetric for large families of regions. We employ both combinatorial and algebraic proofs.
@article{10_37236_9498,
author = {Igor Pak and Fedor Petrov},
title = {Hidden symmetries of weighted lozenge tilings},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {3},
doi = {10.37236/9498},
zbl = {1441.05025},
url = {http://geodesic.mathdoc.fr/articles/10.37236/9498/}
}
TY - JOUR
AU - Igor Pak
AU - Fedor Petrov
TI - Hidden symmetries of weighted lozenge tilings
JO - The electronic journal of combinatorics
PY - 2020
VL - 27
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/9498/
DO - 10.37236/9498
ID - 10_37236_9498
ER -
%0 Journal Article
%A Igor Pak
%A Fedor Petrov
%T Hidden symmetries of weighted lozenge tilings
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/9498/
%R 10.37236/9498
%F 10_37236_9498
Igor Pak; Fedor Petrov. Hidden symmetries of weighted lozenge tilings. The electronic journal of combinatorics, Tome 27 (2020) no. 3. doi: 10.37236/9498
