Rim hook tableaux and Kostant's η-function coefficients
Rim hook tableaux and Kostant's η-function coefficients
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DOI：
10.1016/j.aam.2003.06.004
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发表时间：
2001-12
期刊：
影响因子：
--
通讯作者：
R. Adin;A. Frumkin
中科院分区：
文献类型：
--
作者：
R. Adin;A. Frumkin
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.
