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This article is cited in 2 scientific papers (total in 2 papers)
Restriction of Odd Degree Characters of $\mathfrak{S}_n$
Christine Bessenrodta, Eugenio Giannellib, Jørn B. Olssonc a Institute for Algebra, Number Theory and Discrete Mathematics, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
b Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WA, United Kingdom
c Department of Mathematical Sciences, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
Abstract:
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.
Received: May 25, 2017; in final form August 30, 2017; Published online September 5, 2017
Citation:
Christine Bessenrodt, Eugenio Giannelli, Jørn B. Olsson, “Restriction of Odd Degree Characters of $\mathfrak{S}_n$”, SIGMA, 13 (2017), 070, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1270 https://www.mathnet.ru/eng/sigma/v13/p70
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