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 -