Submatrices of character tables and basic sets
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Submatrices of character tables and basic sets. / Bessenrodt, Christine; Olsson, Jørn Børling.
In: Journal of Combinatorial Theory, Series A, Vol. 119, No. 8, 2012, p. 1744-1788.Research output: Contribution to journal › Journal article › Research › peer-review
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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