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

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 languageEnglish
Pages (from-to)492-511
Number of pages20
JournalAdvances in Applied Mathematics
Volume33
Issue number3
DOIs
StatePublished - Oct 2004

Fingerprint

Dive into the research topics of 'Rim hook tableaux and Kostant's η-function coefficients'. Together they form a unique fingerprint.

Cite this