Jasdeep Kochhar
Published 2019-04-02Version 1
Given $r \in \mathbf{N},$ let $\lambda$ be a partition of $r$ with at most two parts. Let $\mathbf{F}$ be a field of characteristic 3. Write $M^\lambda$ for the $\mathbf{F}S_r$-permutation module corresponding to the action of the symmetric group $S_r$ on the cosets of the maximal Young subgroup $S_\lambda.$ We construct a full set of central primitive idempotents in $\text{End}_{\mathbf{F} S_r}(M^\lambda)$ in this case. We also determine the Young module corresponding to each primitive idempotent that we construct.
Irreducible tensor products for symmetric groups in characteristic 2
Irreducible projective representations of the symmetric group which remain irreducible in characteristic $2$
On the exactness of ordinary parts over a local field of characteristic $p$
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