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Results tagged with plethysm
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user 4366
1
vote
Accepted
Homomorphisms from irreducible spaces to reducible spaces
I assume you are talking about representations of $S_n$ over $\mathbb{C}$. In this case, $\mathbb{C}S_n$ is left semi-simple by Maschke's Theorem, so every representation of $S_n$ is a direct sum of i …
- 1,472
4
votes
Accepted
Does Schur's Lemma hold in this case? Regular representations of $S_n$ over $\mathbb R$
Irreducible representations of $S_n$ are absolutely irreducible, meaning that they remain irreducible after extension of scalars. Therefore, if $V$ is irreducible as an $\mathbb{R} S_n$-module and $\p …
- 1,472