Rim hook tableaux and Kostant's η-function coefficients

Ron M. Adin; Avital Frumkin

doi:10.1016/j.aam.2003.06.004

Rim hook tableaux and Kostant's η-function coefficients

Ron M. Adin
, Avital Frumkin

Department of Mathematics

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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
Pages (from-to)	492-511
Number of pages	20
Journal	Advances in Applied Mathematics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1016/j.aam.2003.06.004
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
Bar-Ilan University
Israel Academy of Sciences and Humanities
Israel Science Foundation

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10.1016/j.aam.2003.06.004

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Rim hook tableaux and Kostant's η-function coefficients

Abstract

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