On (almost) extreme components in Kronecker products of characters of the symmetric groups

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Christine Bessenrodt
  • Stephanie Van Willigenburg

External Research Organisations

  • University of British Columbia
View graph of relations

Details

Original languageEnglish
Pages (from-to)460-500
Number of pages41
JournalJournal of algebra
Volume410
Early online date12 Mar 2014
Publication statusPublished - 15 Jul 2014

Abstract

Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.

Keywords

    Kronecker coefficients, Kronecker products, Schur functions

ASJC Scopus subject areas

Cite this

On (almost) extreme components in Kronecker products of characters of the symmetric groups. / Bessenrodt, Christine; Van Willigenburg, Stephanie.
In: Journal of algebra, Vol. 410, 15.07.2014, p. 460-500.

Research output: Contribution to journalArticleResearchpeer review

Bessenrodt C, Van Willigenburg S. On (almost) extreme components in Kronecker products of characters of the symmetric groups. Journal of algebra. 2014 Jul 15;410:460-500. Epub 2014 Mar 12. doi: 10.1016/j.jalgebra.2014.01.035
Bessenrodt, Christine ; Van Willigenburg, Stephanie. / On (almost) extreme components in Kronecker products of characters of the symmetric groups. In: Journal of algebra. 2014 ; Vol. 410. pp. 460-500.
Download
@article{8042b0b3887f48e68ea1d89f3f5fef51,
title = "On (almost) extreme components in Kronecker products of characters of the symmetric groups",
abstract = "Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.",
keywords = "Kronecker coefficients, Kronecker products, Schur functions",
author = "Christine Bessenrodt and {Van Willigenburg}, Stephanie",
note = "Funding Information: The authors thank the Alexander von Humboldt Foundation and the National Sciences and Engineering Research Council of Canada for the support of their collaboration. ",
year = "2014",
month = jul,
day = "15",
doi = "10.1016/j.jalgebra.2014.01.035",
language = "English",
volume = "410",
pages = "460--500",
journal = "Journal of algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

Download

TY - JOUR

T1 - On (almost) extreme components in Kronecker products of characters of the symmetric groups

AU - Bessenrodt, Christine

AU - Van Willigenburg, Stephanie

N1 - Funding Information: The authors thank the Alexander von Humboldt Foundation and the National Sciences and Engineering Research Council of Canada for the support of their collaboration.

PY - 2014/7/15

Y1 - 2014/7/15

N2 - Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.

AB - Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.

KW - Kronecker coefficients

KW - Kronecker products

KW - Schur functions

UR - http://www.scopus.com/inward/record.url?scp=84900343264&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2014.01.035

DO - 10.1016/j.jalgebra.2014.01.035

M3 - Article

AN - SCOPUS:84900343264

VL - 410

SP - 460

EP - 500

JO - Journal of algebra

JF - Journal of algebra

SN - 0021-8693

ER -