On bar partitions and spin character zeros

Christine Bessenrodt

On bar partitions and spin character zeros

Christine Bessenrodt^*

^*Corresponding author for this work

Faculty of Mathematics and Physics

Research output: Contribution to conference › Paper › Research › peer review

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.

Original language	English
Pages	346-351
Number of pages	6
Publication status	Published - 2006
Event	18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States Duration: 19 Jun 2006 → 23 Jun 2006

Conference

Conference	18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
Country/Territory	United States
City	San Diego, CA
Period	19 Jun 2006 → 23 Jun 2006

Keywords

Bar partitions
Partitions
Spin characters
Symmetric groups and their double covers
Vanishing property

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "On bar partitions and spin character zeros",

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 = "Bar partitions, Partitions, Spin characters, Symmetric groups and their double covers, Vanishing property",

author = "Christine Bessenrodt",

year = "2006",

language = "English",

pages = "346--351",

note = "18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 ; Conference date: 19-06-2006 Through 23-06-2006",

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T1 - On bar partitions and spin character zeros

AU - Bessenrodt, Christine

PY - 2006

Y1 - 2006

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 - Bar partitions

KW - Partitions

KW - Spin characters

KW - Symmetric groups and their double covers

KW - Vanishing property

UR - https://www.scopus.com/pages/publications/84860636854

M3 - Paper

AN - SCOPUS:84860636854

SP - 346

EP - 351

T2 - 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006

Y2 - 19 June 2006 through 23 June 2006

ER -

On bar partitions and spin character zeros

Abstract

Conference

Keywords

ASJC Scopus subject areas

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Cite this