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2003-36

On the Durfee size of Kronecker products of characters of the symmetric group and its double covers

by Bessenrodt, Ch., Behns, Ch..


Series: 2003-36, 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