A note on the Grothendieck ring of the symmetric group

Details A note on the Grothendieck ring of the symmetric group A note on the Grothendieck ring of the symmetric group

2005-11-02

arxiv.org/abs/math/0511043v2

Comptes Rendus de l Acad\'emie des Sciences - Series I - Mathematics 342 (2006) 533-538

Mathematics

Representation Theory

5 pages

Scientific paper

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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