Kronecker positivity and 2-modular representation theory

C. Bessenrodt; C. Bowman; L. Sutton

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Kronecker positivity and 2-modular representation theory

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arxiv 1903.07717 v3 pith:NTU745GL submitted 2019-03-18 math.RT math.CO

C. Bessenrodt , C. Bowman , L. Sutton This is my paper · ORCID

classification math.RTmath.CO

keywords kroneckermodularrepresentationapplyclasscoefficientscompletelyconjecture

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This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl's conjecture for a large new class of partitions.

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