01-19
A note on Cartan matrices for symmetric groups
Preprint series: 01-19, Preprints
The paper is published: Arch Math. (to appear)
- MSC:
- 20C30 Representations of finite symmetric groups
- 05A15 Exact enumeration problems, generating functions, See Also {33Cxx, 33Dxx}
Abstract: Using generating functions a very simple explicit formula for the determinants of the p-Cartan matrices of symmetric groups is given. Our method works also when p is a composite number.
Keywords: symmetric groups, Cartan matrices, determinants
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