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arXiv:2309.00294 [math.RT]AbstractReferencesReviewsResources

On representation equivalence and multiplicity measure for lattices in Lie Groups

Chandrasheel Bhagwat, Kaustabh Mondal

Published 2023-09-01Version 1

We prove an analogue of the strong multiplicity one theorem in the context of finite covolume lattices in the group $G ={ \rm SO}(2,1)^\circ$. We show that the multiplicity measures of two lattices are same if they agree outside a finite measure subset of $\widehat G$.

Comments: 15 Pages
Categories: math.RT, math.GR, math.NT
Subjects: 22E40, 22E45, 53C35
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