平面剖分Schur函数的一个模拟
An analogue of Schur functions for the plane partitions
摘要：
试图描述扩展的概念Schur函数从杨图平面分区。建议在分区大小上使用递归，这很容易推广和变形。这打开了一个可能性，以获得麦克唐纳多项式的递归系数的变化，并采取适当的限制从三维到二维-虽然细节仍有待解决。另一个视角是开放的观察到一个丰富的非阿贝尔结构，扩展的交换切割和加入运营商，其中发现的3-舒尔是共同的本征函数。
英文摘要：
An attempt is described to extend the notion of Schur functions from Young diagrams to plane partitions. The suggestion is to use the recursion in the partition size, which is easily generalized and deformed. This opens a possibility to obtain Macdonald polynomials by a change of recursion coefficients and taking appropriate limit from three to two dimensions -- though details still remain to be worked out. Another perspective is opened by the observation of a rich non-abelian structure, extending that of commuting cut-and-join operators, for which the discovered 3-Schurs are the common eigenfunctions.
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。
