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Kronecker positivity and 2-modular representation theory
classification
math.RT
math.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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