TY - JOUR

T1 - Hidden symmetries of weighted lozenge tilings

AU - Pak, Igor

AU - Petrov, Fedor

N1 - Funding Information: ∗Supported by NSF †Supported by BASIS foundation Funding Information: These results were obtained during the Asymptotic Algebraic Combinatorics workshop at the IPAM; both authors thank IPAM for the hospitality, organization and inspiration. The first author was partially supported by the NSF. The second author was partially supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”. Publisher Copyright: © The authors. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85090651057&partnerID=8YFLogxK

U2 - 10.37236/9498

DO - 10.37236/9498

M3 - Article

AN - SCOPUS:85090651057

VL - 27

SP - 1

EP - 19

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

IS - 3

M1 - P3.44

ER -