Hyperbolic Coxeter N-Polytopes with n+2 Facets

被引:0
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作者
P. V. Tumarkin
机构
[1] Independent Moscow University,
来源
Mathematical Notes | 2004年 / 75卷
关键词
Coxeter polytope; reflection group; hyperbolic geometry; Gale diagram;
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摘要
In this paper, we classify all the hyperbolic noncompact Coxeter polytopes of finite volume whose combinatorial type is either that of a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with the results of Kaplinskaja (1974) and Esselmann (1996), this completes the classification of hyperbolic Coxeter N-polytopes of finite volume with n+2 facets.
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页码:848 / 854
页数:6
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