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arxiv: 1407.6218 · v1 · pith:UHDHX7MVnew · submitted 2014-07-23 · 🧮 math.NT · math.RT

A trace formula for non-unitary representations of a uniform lattice

classification 🧮 math.NT math.RT
keywords formulagammalatticenon-unitarytraceuniformcomplexfinite-dimensional
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In this work we shall generalize the Selberg trace formula to a non-unitary finite-dimensional complex representation $\chi:\Gamma\rightarrow\operatorname{GL}(V)$ of a uniform lattice $\Gamma$ of a real Lie group $G$.

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