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.
|Number of pages||6|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - Oct 2006|
- Cartan matrix
- Symmetric groups
ASJC Scopus subject areas