arXiv:2303.15596 [math.RT]AbstractReferencesReviewsResources
Symmetric Powers
Published 2023-03-27Version 1
Given a faithful finite-dimensional representation $V$ of a finite group $G$ over any field $\mathbb{F}$, we show that any irreducible ${\mathbb{F}}G$-module $W$ appears, as a submodule or a quotient, in $\mathrm{Sym}^m(V)$ for some integer $1 \leq m \leq |G|$ (that may depend on $W$).
Subjects: 20C20
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