Selective orders in central simple algebras and isospectral families of arithmetic manifolds
نویسندگان
چکیده
منابع مشابه
Division Algebras and Non-commensurable Isospectral Manifolds
A. Reid [R] showed that if Γ1 and Γ2 are arithmetic lattices in G = PGL2(R) or in PGL2(C) which give rise to isospectral manifolds, then Γ1 and Γ2 are commensurable (after conjugation). We show that for d ≥ 3 and S = PGLd(R)/POd(R), or S = PGLd(C)/PUd(C), the situation is quite different: there are arbitrarily large finite families of isospectral non-commensurable compact manifolds covered by S...
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ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 2015
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-014-0726-2