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A Vector-Valued Trace Formula For Finite Groups, Miles Chasek
A Vector-Valued Trace Formula For Finite Groups, Miles Chasek
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We derive a trace formula that can be used to study representations of a finite group G induced from arbitrary representations of a subgroup Γ. We restrict our attention to finite-dimensional representations over the field of complex numbers. We consider some applications and examples of our trace formula, including a proof of the well-known Frobenius reciprocity theorem.