Rim hook tableaux and Kostant's η-function coefficients

Ron M. Adin*, Avital Frumkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 languageEnglish
Pages (from-to)492-511
Number of pages20
JournalAdvances in Applied Mathematics
Issue number3
StatePublished - Oct 2004


FundersFunder number
Bar-Ilan University
Israel Academy of Sciences and Humanities
Israel Science Foundation


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