How does $\operatorname{Ind}^G_H$ behave with respect to $\bigoplus$? What are the properties of $\operatorname{Ind}^G_H$ with regard to taking direct sums? Any answers or texts to read would be most helpful.
2026-02-22 18:54:39.1771786479
How does $\operatorname{Ind}^G_H$ behave with respect to $\bigoplus$?
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Induced representation is a left adjoint functor, so it preserves colimits, in particular arbitrary direct sums.