Diagonal Slices of 3D Young Diagrams in the Approach of Maya Diagrams
CAI Li-Qiang1,2,3**, WANG Li-Fang2,3, WU Ke2,3, YANG Jie2,3
1Department of Mathematics, Jilin University, Changchun 130012 2School of Mathematical Sciences, Capital Normal University, Beijing 100048 3Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100190
Abstract:According to the correspondence between 2D Young diagrams and Maya diagrams and the relation between 2D and 3D Young diagrams, we construct 3D Young diagrams in the approach of Maya diagrams. Moreover, we formulate the generating function of 3D Young diagrams, which is the MacMahon function in terms of Maya diagrams.
. [J]. 中国物理快报, 2014, 31(09): 90501-090501.
CAI Li-Qiang, WANG Li-Fang, WU Ke, YANG Jie. Diagonal Slices of 3D Young Diagrams in the Approach of Maya Diagrams. Chin. Phys. Lett., 2014, 31(09): 90501-090501.
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