Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 070 |
Fachzeitschrift | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Jahrgang | 13 |
Publikationsstatus | Veröffentlicht - 5 Sept. 2017 |
Abstract
Let n and k be natural numbers such that 2k < n. We study the restriction to Sn–2k of odd-degree irreducible characters of the symmetric group Sn. 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].
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Mathematische Physik
- Mathematik (insg.)
- Geometrie und Topologie
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in: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Jahrgang 13, 070, 05.09.2017.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Restriction of odd degree characters of Sn
AU - Bessenrodt, Christine
AU - Giannelli, Eugenio
AU - Olsson, Jørn B.
N1 - Funding Information: We thank Gabriel Navarro for providing some useful tables which helped us find the patterns explained by the results of this paper. The second author is grateful to Trinity Hall, University of Cambridge, for funding his research. Thanks also go to the referee for helpful comments on a previous version of the article.
PY - 2017/9/5
Y1 - 2017/9/5
N2 - Let n and k be natural numbers such that 2k < n. We study the restriction to Sn–2k of odd-degree irreducible characters of the symmetric group Sn. 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].
AB - Let n and k be natural numbers such that 2k < n. We study the restriction to Sn–2k of odd-degree irreducible characters of the symmetric group Sn. 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].
KW - Characters of symmetric groups
KW - Hooks in partitions
UR - http://www.scopus.com/inward/record.url?scp=85028968671&partnerID=8YFLogxK
U2 - 10.3842/SIGMA.2017.070
DO - 10.3842/SIGMA.2017.070
M3 - Article
AN - SCOPUS:85028968671
VL - 13
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SN - 1815-0659
M1 - 070
ER -