How can I show that the induced representation of a trivial representation of a subgroup is the permutation representation on its cosets?
2026-02-22 21:30:34.1771795834
The induced representation of a trivial representation
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It's related to that: $G$ acts on $G/H$ by left translations ( a permutation representation), so acts on functions from $G/H$ to the scalars. That is the induced representation $1_H^G$.