Assume we have a compact Lie group $G$ and a closed proper subgroup $H$. Is there an elementary way to see that there is a finite dimensional representation $V$ of $G$ with only trivial fixed points $V^G=\{0\}$, but such that $V^H\neq \{0\}$?
2026-05-04 13:44:51.1777902291
Fixed-point free representation of a Lie group G, with non-trivial fixed points for proper subgroup
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