Elementary divisors of Cartan matrices for symmetric groups
UNO, Katsuhiro ; YAMADA, Hiro-Fumi
J. Math. Soc. Japan, Tome 58 (2006) no. 3, p. 1031-1036 / Harvested from Project Euclid
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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.
Publié le : 2006-10-14
Classification:  Cartan matrix,  symmetric groups,  20C20,  20C30,  05E10 
@article{1179759536,
     author = {UNO, Katsuhiro and YAMADA, Hiro-Fumi},
     title = {Elementary divisors of Cartan matrices for symmetric groups},
     journal = {J. Math. Soc. Japan},
     volume = {58},
     number = {3},
     year = {2006},
     pages = { 1031-1036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1179759536}
}

UNO, Katsuhiro; YAMADA, Hiro-Fumi. Elementary divisors of Cartan matrices for symmetric groups. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp.  1031-1036. http://gdmltest.u-ga.fr/item/1179759536/