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

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On (almost) Extreme Components in Kronecker Products of Characters of the Symmetric Groups

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 Kronecker Products of Characters of the Symmetric Groups with Few Components

Confirming a conjecture made by Bessenrodt and Kleshchev in 1999, we classify all Kronecker products of characters of the symmetric groups with only three or four components. On the way towards this result, we obtain new information about constituents in Kronecker products.

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On Kronecker Products of Spin Characters of the Double Covers of the Symmetric Groups

In recent years, a number of results on Kronecker products of complex Sncharacters have been obtained. In particular, the rectangular hull for the constituents in such products was found, and this was used for the classification of products with few homogeneous components; see [1] for this classification result and references to related work. Here, we provide similar results for products of spi...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2014

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2014.01.035