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A Family of Z Bases for the Ring of Sn Characters and Applications to the Decomposition of Kronecker Products

✍ Scribed by Yoav Dvir

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
193 KB
Volume
15
Category
Article
ISSN
0195-6698

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✦ Synopsis

We introduce a new family of (\mathbb{Z}) bases for the ring of (S_{n}) characters and give their transition matrices explicitly. Applying one of these bases, we introduce a recursive formula for the Kronecker product of two characters. Another application is a sufficient condition for the vanishing of the coefficient of an irreducible character in a Kronecker product.

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