Submatrices of character tables and basic sets

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Submatrices of character tables and basic sets. / Bessenrodt, Christine; Olsson, Jørn Børling.

I: Journal of Combinatorial Theory, Series A, Bind 119, Nr. 8, 2012, s. 1744-1788.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bessenrodt, C & Olsson, JB 2012, 'Submatrices of character tables and basic sets', Journal of Combinatorial Theory, Series A, bind 119, nr. 8, s. 1744-1788.

APA

Bessenrodt, C., & Olsson, J. B. (2012). Submatrices of character tables and basic sets. Journal of Combinatorial Theory, Series A, 119(8), 1744-1788.

Vancouver

Bessenrodt C, Olsson JB. Submatrices of character tables and basic sets. Journal of Combinatorial Theory, Series A. 2012;119(8):1744-1788.

Author

Bessenrodt, Christine ; Olsson, Jørn Børling. / Submatrices of character tables and basic sets. I: Journal of Combinatorial Theory, Series A. 2012 ; Bind 119, Nr. 8. s. 1744-1788.

Bibtex

@article{6a5885ed4fa942379b7279b1e3dfe32d,
title = "Submatrices of character tables and basic sets",
abstract = "In this investigation of character tables of nite groups we study basicsets and associated representation theoretic data for complementary sets of conjugacy lasses. For the symmetric groups we nd unexpected properties of characters on restricted sets of conjugacy classes, like beautiful combinatorial determinant formulae for submatrices of the character table and Cartan matrices with respect to basic sets; we observe that similar phenomena occur for the transition matrices between power sum symmetric functions to bounded partitions and the k-Schur functions dened by Lapointe and Morse. Arithmetic properties of the numbers occurring in this context are studied via generating functions",
author = "Christine Bessenrodt and Olsson, {J{\o}rn B{\o}rling}",
year = "2012",
language = "English",
volume = "119",
pages = "1744--1788",
journal = "Journal of Combinatorial Theory - Series A",
issn = "0097-3165",
publisher = "Academic Press",
number = "8",

}

RIS

TY - JOUR

T1 - Submatrices of character tables and basic sets

AU - Bessenrodt, Christine

AU - Olsson, Jørn Børling

PY - 2012

Y1 - 2012

N2 - In this investigation of character tables of nite groups we study basicsets and associated representation theoretic data for complementary sets of conjugacy lasses. For the symmetric groups we nd unexpected properties of characters on restricted sets of conjugacy classes, like beautiful combinatorial determinant formulae for submatrices of the character table and Cartan matrices with respect to basic sets; we observe that similar phenomena occur for the transition matrices between power sum symmetric functions to bounded partitions and the k-Schur functions dened by Lapointe and Morse. Arithmetic properties of the numbers occurring in this context are studied via generating functions

AB - In this investigation of character tables of nite groups we study basicsets and associated representation theoretic data for complementary sets of conjugacy lasses. For the symmetric groups we nd unexpected properties of characters on restricted sets of conjugacy classes, like beautiful combinatorial determinant formulae for submatrices of the character table and Cartan matrices with respect to basic sets; we observe that similar phenomena occur for the transition matrices between power sum symmetric functions to bounded partitions and the k-Schur functions dened by Lapointe and Morse. Arithmetic properties of the numbers occurring in this context are studied via generating functions

M3 - Journal article

VL - 119

SP - 1744

EP - 1788

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

IS - 8

ER -

ID: 40290171