Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1031-1036 |
| Number of pages | 6 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 58 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 2006 |
| Externally published | Yes |
Keywords
- Cartan matrix
- Symmetric groups
ASJC Scopus subject areas
- Mathematics(all)