# Endomorphism rings of some Young modules

• Jasdeep Kochhar, Royal Holloway
• Friday 28 October 2016, 15:00-16:00
• CMS, MR15.

Let $Sn$ be the symmetric group acting on the set $\{1,2,\ldots,n\}$. Let $K$ be a field of characteristic 2, and let $\lambda$ and $\mu$ be partitions of $n$ in at most two parts. Denote the permutation module corresponding to the Young subgroup $S\lambda$ in $Sn$ by $M\lambda$, and the indecomposable Young module corresponding to $\mu$ by $Y\mu$. In this talk, we will look at the algebra $\text{End}{K[S_n]}(Y\mu).$ We will do this using the primitive idempotents of $\text{End}{K[S_n]}(M\lambda),$ which were constructed by Doty, Erdmann and Henke in (J. Algebra 307(1): 377—396, 2007).

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.