Kronecker positivity and 2-modular representation theory release_g7awvqq6ijehrcskyraprcuxtm

by C. Bessenrodt, C. Bowman, L. Sutton

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2019  

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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Date   2019-03-18
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arXiv  1903.07717v1
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