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 <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