Elementary divisors of Cartan matrices for symmetric groups

Katsuhiro Uno, Hiro Fumi Yamada

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1031-1036
Number of pages6
JournalJournal of the Mathematical Society of Japan
Volume58
Issue number4
DOIs
Publication statusPublished - Oct 2006

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Cartan Matrix
Symmetric group
Divisor
Partition

Keywords

  • Cartan matrix
  • Symmetric groups

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Elementary divisors of Cartan matrices for symmetric groups. / Uno, Katsuhiro; Yamada, Hiro Fumi.

In: Journal of the Mathematical Society of Japan, Vol. 58, No. 4, 10.2006, p. 1031-1036.

Research output: Contribution to journalArticle

Uno, Katsuhiro ; Yamada, Hiro Fumi. / Elementary divisors of Cartan matrices for symmetric groups. In: Journal of the Mathematical Society of Japan. 2006 ; Vol. 58, No. 4. pp. 1031-1036.
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