03-36
On the Durfee size of Kronecker products of characters of the symmetric group and its double covers
by Bessenrodt, Ch.; Behns, Ch.
Preprint series: 03-36, Preprints
- MSC:
- 20C25 Projective representations and multipliers
- 20C30 Representations of finite symmetric groups
Abstract: We investigate Kronecker products of characters for $S_n$ and spin products for the double covers $\tilde{S}_n$. We give bounds on the Durfee size of these products and provide information on the existence of special constituents. Also, all products of Durfee size at most 2 are explicitly described.
Keywords: Kronecker product, symmetric group, double cover, Durfee size
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