Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

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Abstract

We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.

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Lucia Morotti (Mon,) studied this question.

synapsesocial.com/papers/68e6848db6db64358760d045 https://doi.org/https://doi.org/10.1016/j.jalgebra.2024.04.031

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