FROM GEOMETRY TO ARITHMETIC OF COMPACT HYPERBOLIC COXETER POLYTOPES

نویسندگان

چکیده

We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these can be a very useful tool for the classification problem of reflective anisotropic Lorentzian lattices cocompact arithmetic reflection groups.

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ژورنال

عنوان ژورنال: Transformation Groups

سال: 2022

ISSN: ['1531-586X', '1083-4362']

DOI: https://doi.org/10.1007/s00031-022-09747-3