Can we glue characteristic 0 and characteristic p representations of a finite group given equality of (Brauer) characters? – mathoverflow.net

Can we glue characteristic 0 and characteristic p representations of a finite group given equality of (Brauer) characters? – mathoverflow.net

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Suppose I have a prime $p$ and a finite group $G$ together with representations $\sigma: G \to GL_n(\mathbb{Q}_p)$ and $\pi: G \to GL_n(\mathbb{F}_p)$. My question is: When does there exist a ...

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