Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 309-332 |
| Seitenumfang | 24 |
| Fachzeitschrift | Journal of algebraic combinatorics |
| Jahrgang | 36 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 8 Dez. 2011 |
| Publikationsstatus | Veröffentlicht - Sept. 2012 |
Abstract
In this paper we present, for any integer d, a description of the set of hooks in a d-symbol. We then introduce generalized hook length functions for a d-symbol, and prove a general result about them, involving the core and quotient of the symbol. We list some applications, for example to the well-known hook lengths in integer partitions. This leads in particular to a generalization of a relative hook formula for the degree of characters of the symmetric group discovered by G. Malle and G. Navarro in Trans. Am. Math. Soc. 363, 6647-6669, 2011.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
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in: Journal of algebraic combinatorics, Jahrgang 36, Nr. 2, 09.2012, S. 309-332.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Generalized hook lengths in symbols and partitions
AU - Bessenrodt, Christine
AU - Gramain, Jean Baptiste
AU - Olsson, Jørn B.
PY - 2012/9
Y1 - 2012/9
N2 - In this paper we present, for any integer d, a description of the set of hooks in a d-symbol. We then introduce generalized hook length functions for a d-symbol, and prove a general result about them, involving the core and quotient of the symbol. We list some applications, for example to the well-known hook lengths in integer partitions. This leads in particular to a generalization of a relative hook formula for the degree of characters of the symmetric group discovered by G. Malle and G. Navarro in Trans. Am. Math. Soc. 363, 6647-6669, 2011.
AB - In this paper we present, for any integer d, a description of the set of hooks in a d-symbol. We then introduce generalized hook length functions for a d-symbol, and prove a general result about them, involving the core and quotient of the symbol. We list some applications, for example to the well-known hook lengths in integer partitions. This leads in particular to a generalization of a relative hook formula for the degree of characters of the symmetric group discovered by G. Malle and G. Navarro in Trans. Am. Math. Soc. 363, 6647-6669, 2011.
KW - Core
KW - Hook lengths
KW - Hooks
KW - Partitions
KW - Quotient
KW - Symbols
UR - http://www.scopus.com/inward/record.url?scp=84865228780&partnerID=8YFLogxK
U2 - 10.1007/s10801-011-0338-9
DO - 10.1007/s10801-011-0338-9
M3 - Article
AN - SCOPUS:84865228780
VL - 36
SP - 309
EP - 332
JO - Journal of algebraic combinatorics
JF - Journal of algebraic combinatorics
SN - 0925-9899
IS - 2
ER -