On the Kronecker Product s(n-p,p) * sλ

The Kronecker product of two Schur functions s and s, denoted s s ,i s dened as the Frobenius characteristic of the tensor product of the irreducible representations of the symmetric group indexed by partitions of n, and , respectively. The coecient, g;; ,o fs in s s is equal to the multiplicity of the irreducible representation indexed by in the tensor product. In this paper we give an algorithm for expanding the Kronecker product s(n p;p) s if 1 2 2p .A s a consequence of this algorithm we obtain a formula for g (n p;p);; in terms of the Littlewood-Richardson coecients which does not involve cancellations. Another consequence of our algorithm is that if 1 2 2p then every Kronecker coecient in s(n p;p) s is independent of n, in other words, g(n p;p);; is stable for all

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