Abstract
Let $G$ be a Lie-group and $\mathit{\Gamma} \subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\omega$ of $\mathit{\Gamma}$ we show that the $G$-representation on $L^2(\mathit{\Gamma} \backslash G, \omega)$ admits a complete filtration with irreducible quotients. As a consequence, we show the trace formula for non-unitary twists and arbitrary locally compact groups.
Citation
Anton Deitmar. "Spectral theory for non-unitary twists." Hiroshima Math. J. 49 (2) 235 - 249, July 2019. https://doi.org/10.32917/hmj/1564106546
Information