Journal of the Mathematical Society of Japan

Elementary divisors of Cartan matrices for symmetric groups

Katsuhiro UNO and Hiro-Fumi YAMADA

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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.

Article information

J. Math. Soc. Japan, Volume 58, Number 4 (2006), 1031-1036.

First available in Project Euclid: 21 May 2007

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Zentralblatt MATH identifier

Primary: 20C20: Modular representations and characters
Secondary: 20C30: Representations of finite symmetric groups 05E10: Combinatorial aspects of representation theory [See also 20C30]

Cartan matrix symmetric groups


UNO, Katsuhiro; YAMADA, Hiro-Fumi. Elementary divisors of Cartan matrices for symmetric groups. J. Math. Soc. Japan 58 (2006), no. 4, 1031--1036. doi:10.2969/jmsj/1179759536.

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