Differential operators, shifted parts, and hook lengths

DOI10.1007/s11139-010-9271-0zbMath1234.05232arXiv0807.2473OpenAlexW2068666857MaRDI QIDQ539130

Tewodoros Amdeberhane

Publication date: 27 May 2011

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

Full work available at URL: https://arxiv.org/abs/0807.2473

zbMATH Keywords

hook lengthsSakaguchi differential operatorsshifted parts

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Ordinary differential operators (47E99)

Related Items (3)

Difference operators for partitions and some applications ⋮ Some combinatorial properties of hook lengths, contents, and parts of partitions ⋮ Difference operators for partitions under the Littlewood decomposition

Cites Work

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• Some combinatorial properties of hook lengths, contents, and parts of partitions
• Shifted Jack polynomials, binomial formula, and applications
• Dodgon's determinant-evaluation rule proved by TWO-TIMING MEN and WOMEN
• Some combinatorial properties of Jack symmetric functions
• Quantum immanants and higher Capelli identities
• Generalizations of Cauchy's Summation Theorem for Schur Functions
• Some Conjectures and Open Problems on Partition Hook Lengths
• The Hook Graphs of the Symmetric Group

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