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A note on the Grothendieck ring of the symmetric group

Cédric Bonnafé
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Abstract

Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.

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Cédric Bonnafé. 2005-11-30. A note on the Grothendieck ring of the symmetric group. https://arxiv.org/abs/math/0511043

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