Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 107-124 |
| Seitenumfang | 18 |
| Fachzeitschrift | Journal of algebraic combinatorics |
| Jahrgang | 26 |
| Ausgabenummer | 1 |
| Frühes Online-Datum | 10 Jan. 2007 |
| Publikationsstatus | Veröffentlicht - Aug. 2007 |
Abstract
The main combinatorial result in this article is a classification of bar partitions of n which are of maximal p-bar weight for all odd primes p ≤ n. As a consequence, we show that apart from very few exceptions any irreducible spin character of the double covers of the symmetric and alternating groups vanishes on some element of odd prime order.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
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in: Journal of algebraic combinatorics, Jahrgang 26, Nr. 1, 08.2007, S. 107-124.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Bar weights of bar partitions and spin character zeros
AU - Bessenrodt, Christine
N1 - Funding Information: Thanks go also to Prof. J. Zhang for the hospitality enjoyed during a visit at Peking University when the work for this article was completed; the support of this stay by the Sino-German Center for Research Promotion in Beijing is gratefully acknowledged.
PY - 2007/8
Y1 - 2007/8
N2 - The main combinatorial result in this article is a classification of bar partitions of n which are of maximal p-bar weight for all odd primes p ≤ n. As a consequence, we show that apart from very few exceptions any irreducible spin character of the double covers of the symmetric and alternating groups vanishes on some element of odd prime order.
AB - The main combinatorial result in this article is a classification of bar partitions of n which are of maximal p-bar weight for all odd primes p ≤ n. As a consequence, we show that apart from very few exceptions any irreducible spin character of the double covers of the symmetric and alternating groups vanishes on some element of odd prime order.
KW - Alternating group
KW - Bar cores
KW - Bar partitions
KW - Bar weights
KW - Character zeros
KW - Spin characters
KW - Symmetric group
UR - http://www.scopus.com/inward/record.url?scp=34547681879&partnerID=8YFLogxK
U2 - 10.1007/s10801-006-0050-3
DO - 10.1007/s10801-006-0050-3
M3 - Article
AN - SCOPUS:34547681879
VL - 26
SP - 107
EP - 124
JO - Journal of algebraic combinatorics
JF - Journal of algebraic combinatorics
SN - 0925-9899
IS - 1
ER -