Publication: Difference operators for partitions under the Littlewood decomposition
Difference operators for partitions under the Littlewood decomposition
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Dehaye, P.-O., Han, G.-N., & Xiong, H. (2017). Difference operators for partitions under the Littlewood decomposition. The Ramanujan Journal, 44(1), 197–225. https://doi.org/10.1007/s11139-016-9807-z
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The concept of $\mathit{t}$-difference operator for functions of partitions is introduced to prove a generalization of Stanley’s theorem on polynomiality of Plancherel averages of symmetric functions related to contents and hook lengths. Our extension uses a generalization of the notion of Plancherel measure, based on walks in the Young lattice with steps given by the addition of $\mathit{t}$
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- Dehaye, Paul-Olivier
- Han, Guo-Niu
- Xiong, Huan
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Dehaye, P.-O., Han, G.-N., & Xiong, H. (2017). Difference operators for partitions under the Littlewood decomposition. The Ramanujan Journal, 44(1), 197–225. https://doi.org/10.1007/s11139-016-9807-z
