Difference operators for partitions under the Littlewood decomposition

DOI10.1007/s11139-016-9807-zzbMath1377.05013arXiv1511.02804OpenAlexW2963590979MaRDI QIDQ1688194

Guo-Niu Han, Huan Xiong, Paul-Olivier Dehaye

Publication date: 5 January 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02804

zbMATH Keywords

partitionPlancherel measuredifference operatorLittlewood decomposition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Difference operators (39A70) Elementary theory of partitions (11P81) Linear difference operators (47B39)

Related Items

New hook-content formulas for strict partitions ⋮ Cut-and-join equation for monotone Hurwitz numbers revisited ⋮ Difference operators for partitions and some applications ⋮ Modular Nekrasov-Okounkov formulas ⋮ Polynomiality of certain average weights for oscillating tableaux ⋮ Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions

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