Division algebras and noncommensurable isospectral manifolds
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Publication:854580
DOI10.1215/S0012-7094-06-13525-1zbMath1123.58020arXivmath/0501064MaRDI QIDQ854580
Beth Samuels, Uzi Vishne, Alexander Lubotzky
Publication date: 5 December 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501064
Representation-theoretic methods; automorphic representations over local and global fields (11F70) Isospectrality (58J53) Nonassociative division algebras (17A35)
Related Items (9)
Determining hyperbolic 3-manifolds by their surfaces ⋮ Counting and effective rigidity in algebra and geometry ⋮ Locally equivalent correspondences ⋮ Totally geodesic spectra of arithmetic hyperbolic spaces ⋮ Local selectivity of orders in central simple algebras ⋮ Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds ⋮ Weakly commensurable arithmetic groups and isospectral locally symmetric spaces ⋮ Traces, lengths, axes and commensurability ⋮ Counting problems for geodesics on arithmetic hyperbolic surfaces
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