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

摘要

We investigate Kronecker products of characters for S-n and spin products for the double covers (S) over tilde (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. (C) 2004 Elsevier Inc. All rights reserved.