路间平铺双射与Brauer图
Tiling bijections between paths and Brauer diagrams
摘要：
通过平铺定义的Temperley-Lieb代数的Dyck路径和基图之间存在自然的双射。悬垂路径是Dyck路径的某些概括，允许更一般的步骤，但限于二维整数格中的矩形。我们发现，有一个自然的双射，延长上述平铺建设，悬垂路径和基础图表的布劳尔代数之间。
英文摘要：
There is a natural bijection between Dyck paths and basis diagrams of the Temperley-Lieb algebra defined via tiling. Overhang paths are certain generalisations of Dyck paths allowing more general steps but restricted to a rectangle in the two-dimensional integer lattice. We show that there is a natural bijection, extending the above tiling construction, between overhang paths and basis diagrams of the Brauer algebra.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
