自补平面剖分的Proctor极小值法
Self-complementary plane partitions by Proctor's minuscule method
摘要：
Proctor方法[European J. Combin. 5（1984），no. 4，331-350]实现了盒中的任意平面划分的集合和对称平面划分的集合作为李群的线性表示的基。我们扩展了这种方法，通过实现换位和补充的平面分区作为自然的线性变换的表示，从而枚举对称的平面分区，自互补的平面分区，和转置补平面分区在一个新的方式。
英文摘要：
A method of Proctor [European J. Combin. 5 (1984), no. 4, 331-350] realizes the set of arbitrary plane partitions in a box and the set of symmetric plane partitions as bases of linear representations of Lie groups. We extend this method by realizing transposition and complementation of plane partitions as natural linear transformations of the representations, thereby enumerating symmetric plane partitions, self-complementary plane partitions, and transpose-complement plane partitions in a new way.
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。
