Kronecker positivity and 2-modular representation theory (1903.07717v3)

Published 18 Mar 2019 in math.RT and math.CO

Abstract: 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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