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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
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| Cite this article: |
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CAI Li-Qiang, WANG Li-Fang, WU Ke et al 2014 Chin. Phys. Lett. 31 090501 |
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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.
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Published: 22 August 2014
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| PACS: |
05.30.Fk
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(Fermion systems and electron gas)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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02.30.Ik
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(Integrable systems)
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[8] Macdonald I G 1995 Symmetric Functions and Hall Polynomials (Oxford: Oxford University) |
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