On (almost) extreme components in Kronecker products of characters of the symmetric groups

Christine Bessenrodt; Stephanie van Willigenburg

arxiv: 1105.3170 · v2 · pith:IWIRJCPNnew · submitted 2011-05-16 · 🧮 math.CO · math.RT

On (almost) extreme components in Kronecker products of characters of the symmetric groups

Christine Bessenrodt , Stephanie van Willigenburg This is my paper

classification 🧮 math.CO math.RT

keywords componentskroneckerproductsalmostcharactersgroupsmaximalsymmetric

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Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.

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On (almost) extreme components in Kronecker products of characters of the symmetric groups

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