Hidden symmetries of weighted lozenge tilings

被引：1

作者：

Pak, Igor ^{[1
]}

Petrov, Fedor ^{[2
,3
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] St Petersburg State Univ, St Petersburg, Russia

[3] Steklov Math Inst, St Petersburg, Russia

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2020年 / 27卷 / 03期

关键词：

HOOK FORMULAS;

D O I：

10.37236/9498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 19

页数：19

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