论文标题

在准算术coxeter侧面的脸上

On faces of quasi-arithmetic Coxeter polytopes

论文作者

Bogachev, Nikolay, Kolpakov, Alexander

论文摘要

我们证明,准算术coxeter polytope的每个低维脸,恰好是Coxeter polytope,也是准算术。我们还为编辑$ 1 $面对面的算术和一些计算的示例提供了足够的条件。

We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a sufficient condition for a codimension $1$ face to be actually arithmetic, as well as a few computed examples.

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