Elementary divisors of Cartan matrices for symmetric groups

Elementary divisors of Cartan matrices for symmetric groups

In this paper, we give an easy description of the elementary divisors of the Cartan matrices for symmetric groups in terms of the lengths of p -regular partitions and their Glaisher correspondents. Moreover, for p=2 , it is done block wise. There we use certain kinds of cores and weights, which are...

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Veröffentlicht in:Journal of the Mathematical Society of Japan 2006-10, Vol.58 (4), p.1031-1036
Hauptverfasser: UNO, Katsuhiro, YAMADA, Hiro-Fumi
Format: Artikel
Sprache:eng
Schlagworte:
05E10
20C20
20C30
Cartan matrix
symmetric groups
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Zusammenfassung:In this paper, we give an easy description of the elementary divisors of the Cartan matrices for symmetric groups in terms of the lengths of p -regular partitions and their Glaisher correspondents. Moreover, for p=2 , it is done block wise. There we use certain kinds of cores and weights, which are similar to but different from the usual ones.
ISSN:0025-5645
1881-2333
DOI:10.2969/jmsj/1179759536