Can I read Rim Hook Tableaux and Kostant's $\eta$-Function Coefficients on EtoBox?

Rim Hook Tableaux and Kostant's $\eta$-Function Coefficients by Adin, Ron M.; Frumkin, Avital is a scholarly article available to read on EtoBox.

What is Rim Hook Tableaux and Kostant's $\eta$-Function Coefficients about?

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 $\eta$-function, avoiding most of the original machinery.

Author

Adin, Ron M.; Frumkin, Avital

Published

2001

Language

EN