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arXiv · 1105.3170

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

Christine Bessenrodt·Stephanie van Willigenburg
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Abstract

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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Christine Bessenrodt, Stephanie van Willigenburg. 2013-04-12. On (almost) extreme components in Kronecker products of characters of the symmetric groups. https://doi.org/10.1016/j.jalgebra.2014.01.035

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