Rim hook tableaux and Kostant's η-function coefficients
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 coeffici...
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| Veröffentlicht in: | Advances in applied mathematics 2004-10, Vol.33 (3), p.492-511 |
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| container_start_page | 492 |
| container_title | Advances in applied mathematics |
| container_volume | 33 |
| creator | Adin, Ron M. Frumkin, Avital |
| description | 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. |
| doi_str_mv | 10.1016/j.aam.2003.06.004 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Advances in applied mathematics, 2004-10, Vol.33 (3), p.492-511 |
| issn | 0196-8858 1090-2074 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Algebra Exact sciences and technology Mathematics Number theory Sciences and techniques of general use |
| title | Rim hook tableaux and Kostant's η-function coefficients |
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