Let $G$ be a finite group and $H$ be its subgroup. Suppose, $\rho$ be an irreducible representation of $H$ which can be realized over $\mathbb{R}$ and it remains irreducible after induction to $G$. Is it true that $Ind_{H}^{G} \rho$ can also be realized over $\mathbb{R}$?
2026-03-27 04:05:54.1774584354
Does a real representation induce a real representation
33 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REPRESENTATION-THEORY
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