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arXiv:1105.3170 [math.CO]AbstractReferencesReviewsResources

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

Christine Bessenrodt, Stephanie van Willigenburg

Published 2011-05-16, updated 2013-04-12Version 2

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.

Comments: 38 pages, new theorems added, and paper now focused on maximal and almost maximal components in Kronecker products
Journal: Journal of Algebra 410 (2014) 460-500
Categories: math.CO, math.RT
Subjects: 05E05, 05E10, 20C30
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