Abstract
Using a 0/1 encoding of Young diagrams and its consequences for rim hook tableaux, we prove a reduction formula of Littlewood for arbitrary characters of the symmetric group, evaluated at elements with all cycle lengths divisible by a given integer. As an application, we find explicitly the coefficients in a formula of Kostant for certain powers of the Dedekind η-function, avoiding most of the original machinery.
Original language | English |
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Pages (from-to) | 492-511 |
Number of pages | 20 |
Journal | Advances in Applied Mathematics |
Volume | 33 |
Issue number | 3 |
DOIs | |
State | Published - Oct 2004 |
Bibliographical note
Funding Information:* Corresponding author. E-mail addresses: [email protected] (R.M. Adin), [email protected] (A. Frumkin). 1 Research supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities, and by an internal research grant from Bar-Ilan University.
Funding
* Corresponding author. E-mail addresses: [email protected] (R.M. Adin), [email protected] (A. Frumkin). 1 Research supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities, and by an internal research grant from Bar-Ilan University.
Funders | Funder number |
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Bar-Ilan University | |
Israel Academy of Sciences and Humanities | |
Israel Science Foundation |