Examples of induced representations
Part of the Graduate Texts in Mathematics book series (GTM, volume 42)
Let A be a normal subgroup of a group G, and let p: G → GL(V) be an irreducible representation of G. Then:
either there exists a subgroup H of G, unequal to G and containing A, and an irreducible representation a of H such that p is induced by σ;
or else the restriction of p to A is isotypic.
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© Springer-Verlag, New York Inc. 1977