Translator Disclaimer
July 2019 Spectral theory for non-unitary twists
Anton Deitmar
Hiroshima Math. J. 49(2): 235-249 (July 2019). DOI: 10.32917/hmj/1564106546

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

Download 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

Received: 25 May 2017; Revised: 9 May 2019; Published: July 2019
First available in Project Euclid: 26 July 2019

zbMATH: 07120741
MathSciNet: MR3984993
Digital Object Identifier: 10.32917/hmj/1564106546

Subjects:
Primary: 11F72, 58C40
Secondary: 22E45, 43A99

Rights: Copyright © 2019 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
15 PAGES


SHARE
Vol.49 • No. 2 • July 2019
Back to Top