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2005 Dirichlet Domains for the Mostow Lattices
Martin Deraux
Experiment. Math. 14(4): 467-490 (2005).

Abstract

We describe an experimental method for studying the combinatorics of Dirichlet domains in the complex hyperbolic plane based on numerical and graphical techniques. We apply our techniques to the complex reflection groups that appear in Mostow's seminal paper on the subject and list a number of corrections to the combinatorics of the Dirichlet domains.

Citation

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Martin Deraux. "Dirichlet Domains for the Mostow Lattices." Experiment. Math. 14 (4) 467 - 490, 2005.

Information

Published: 2005
First available in Project Euclid: 10 January 2006

zbMATH: 1105.22005
MathSciNet: MR2193809

Subjects:
Primary: 22E40 , 32Q45 , 51M20

Keywords: Complex hyperbolic geometry , Dirichlet fundamental polyhedron , nonarithmetic lattices

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 4 • 2005
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