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arXiv · 1903.07717

Kronecker positivity and 2-modular representation theory

C. Bessenrodt·C. Bowman·L. Sutton
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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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BibTeXRIS

C. Bessenrodt, C. Bowman, L. Sutton. 2019-03-18. Kronecker positivity and 2-modular representation theory. https://arxiv.org/abs/1903.07717

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