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Sum of Young symmetrisers of a given shape

Preliminaries and notation:Let $n\in \mathbb{Z}_{>0}$ and $\lambda=(\lambda_1,\lambda_2,\dots,\lambda_s)\vdash n$ be a partition. Given a Young diagram of shape $\lambda$, we can associate it with a...

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Answer by darij grinberg for Sum of Young symmetrisers of a given shape

Oops! Despite my comments, this is actually false. (I was wrong in claiming that $\sum_{\mathfrak{s} \in \operatorname{Std}\left(\lambda\right)} c_\lambda\left(\mathfrak{s}\right)$ is a projector onto...

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