Details
| Original language | English |
|---|---|
| Pages (from-to) | 107-124 |
| Number of pages | 18 |
| Journal | Journal of algebraic combinatorics |
| Volume | 26 |
| Issue number | 1 |
| Early online date | 10 Jan 2007 |
| Publication status | Published - 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.
Keywords
- Alternating group, Bar cores, Bar partitions, Bar weights, Character zeros, Spin characters, Symmetric group
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Journal of algebraic combinatorics, Vol. 26, No. 1, 08.2007, p. 107-124.
Research output: Contribution to journal › Article › Research › 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 -