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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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1903.07717v1
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