Symmetric Powers

arXiv2303.15596MaRDI QIDQ6431049

János Kollár, Pham Huu Tiep

Publication date: 27 March 2023

Abstract: Given a faithful finite-dimensional representation $V$ of a finite group $G$ over any field $mathbbF$, we show that any irreducible $mathbbFG$-module $W$ appears, as a submodule or a quotient, in $mathrm{Sym}^m(V)$ for some integer $1leqmleq|G|$ (that may depend on $W$).

Mathematics Subject Classification ID

Modular representations and characters (20C20)

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