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Multiple hooks in Kronecker products of Sn characters and a conjecture of Berele and Imbo

โœ Scribed by Ernesto Vallejo


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
105 KB
Volume
259
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


In this paper we prove a conjecture due to A. Berele and T. Imbo, concerning the appearance of multiple hook characters as components in Kronecker products of complex irreducible characters of the symmetric group. Our proof is constructive and the required multiple hooks are computed combinatorially.


๐Ÿ“œ SIMILAR VOLUMES


A Family of Z Bases for the Ring of Sn C
โœ Yoav Dvir ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

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 vanis