Geodesic
Restriction of Odd Degree Characters of $\mathfrak{S}_n$
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $n$ and $k$ be natural numbers such that $2^k n$. We study the restriction to $\mathfrak{S}_{n-2^k}$ of odd-degree irreducible characters of the symmetric group $\mathfrak{S}_n$. This analysis completes the study begun in [Ayyer A., Prasad A., Spallone S., Sém. Lothar. Combin. 75 (2015), Art. B75g, 13 pages] and recently developed in [Isaacs I.M., Navarro G., Olsson J.B., Tiep P.H., J. Algebra 478 (2017), 271–282].
Keywords: characters of symmetric groups; hooks in partitions. 
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     author = {Christine Bessenrodt and Eugenio Giannelli and J{\o}rn B. Olsson},
     title = {Restriction of {Odd} {Degree} {Characters} of $\mathfrak{S}_n$},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2017},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a69/}
}
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Christine Bessenrodt; Eugenio Giannelli; Jørn B. Olsson. Restriction of Odd Degree Characters of $\mathfrak{S}_n$. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a69/

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[2] Giannelli E., Kleshchev A., Navarro G., Tiep P. H., “Restriction of odd degree characters and natural correspondences”, Int. Math. Res. Not. (to appear) , arXiv: 1601.04423 | DOI

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