Elementary divisors of Cartan matrices for symmetric groups
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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 <i>p</i>-regular partitions and their Glaisher correspondents. Moreover, for <i>p</i>=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.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 58(4), 1031-1036, 2006-10-01
The Mathematical Society of Japan