Refined enumeration of symmetry classes of alternating sign matrices
Journal of Combinatorial Theory, Series A(2021)
摘要
We prove refined enumeration results on several symmetry classes as well as related classes of alternating sign matrices with respect to classical boundary statistics, using the six-vertex model of statistical physics. More precisely, we study vertically symmetric, vertically and horizontally symmetric, vertically and horizontally perverse, off-diagonally and off-antidiagonally symmetric, vertically and off-diagonally symmetric, quarter turn symmetric as well as quasi quarter turn symmetric alternating sign matrices. Our results prove conjectures of Fischer, Duchon and Robbins.
更多查看译文
关键词
Alternating sign matrices,Six-vertex model,Symmetry classes of alternating sign matrices,Lozenge tilings of hexagons,Non-intersecting lattice paths,Symplectic group characters
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要