Detecting Representation Isomorphism Through Twisted Spectra
Publication date
2023
Authors
Cornelissen, Gunther
Peyerimhoff, Norbert
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Document Type
Part of book
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Abstract
In this chapter, we give a spectral characterisation of isomorphism of induced representations. We also discuss strong isospectrality in the sense of Pesce (which, by a result of Sunada, is implied by weak conjugacy of subgroups), discuss an illustrative example of lens spaces due to Ikeda, and use the first result to give a spectral characterisation of weak conjugacy.
Keywords
General Mathematics
Citation
Cornelissen, G & Peyerimhoff, N 2023, Detecting Representation Isomorphism Through Twisted Spectra. in SpringerBriefs in Mathematics. SpringerBriefs in Mathematics, Springer, pp. 31-35. https://doi.org/10.1007/978-3-031-27704-7_4