论文标题
加权片砖的隐藏对称性
Hidden symmetries of weighted lozenge tilings
论文作者
论文摘要
我们研究了Lozenge Tilings的加权分区函数，其权重由多元合理函数给出，最初是由Morales，Pak和Panova（2019）定义的。我们证明，该分区功能对于大型地区家庭是对称的。我们采用组合和代数证明。
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.
