Symmetric group characters of almost square shape
Algebraic Combinatorics, Volume 5 (2022) no. 4, pp. 771-784.

We give closed product formulas for the irreducible characters of the symmetric groups related to rectangular ‘almost square’ Young diagrams p×(p+δ) for a fixed value of an integer δ and an arbitrary integer p.

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DOI: 10.5802/alco.247
Classification: 20C30,  05A15
Keywords: Characters of the symmetric groups, rectangular Young diagrams, Stanley polynomials
Matsumoto, Sho 1; Śniady, Piotr 2

1 Graduate School of Science and Engineering Kagoshima University 1-21-35 Korimoto Kagoshima Japan
2 Institute of Mathematics Polish Academy of Sciences ul. Śniadeckich 8 00-656 Warszawa Poland
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Matsumoto, Sho; Śniady, Piotr. Symmetric group characters of almost square shape. Algebraic Combinatorics, Volume 5 (2022) no. 4, pp. 771-784. doi : 10.5802/alco.247. https://alco.centre-mersenne.org/articles/10.5802/alco.247/

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