HYPERBOLIC REFLECTION GROUPS
HYPERBOLIC REFLECTION GROUPS
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DOI：
10.1070/rm1985v040n01abeh003527
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发表时间：
1985-01-01
影响因子：
0.9
通讯作者：
VINBERG, EB
中科院分区：
文献类型：
--
作者：
VINBERG, EB
一.导言. 12 - 14 4 Lobachevskii空间中的锐角多面体§ 1。凸多面体的格拉姆矩阵§ 2。给定Gram矩阵的锐角多面体的存在定理§ 3.由其格拉姆矩阵确定锐角多面体的组合结构§ 4.锐角多面体有界和有有限体积的判别准则第二章。Lobachevskii空间中的晶体反射群§ 5. Coxeter Schemes的语言。晶体反射群的构造§ 6.高维Lobachevskii空间中具有有界基本多面体的离散反射群的不存在性
CONTENTS Introduction Chapter I. Acute-angled polytopes in Lobachevskii spaces § 1. The Gram matrix of a convex polytope § 2. The existence theorem for an acute-angled polytope with given Gram matrix § 3. Determination of the combinatorial structure of an acute-angled polytope from its Gram matrix § 4. Criteria for an acute-angled polytope to be bounded and to have finite volume Chapter II. Crystallographic reflection groups in Lobachevskii spaces § 5. The language of Coxeter schemes. Construction of crystallographic reflection groups § 6. The non-existence of discrete reflection groups with bounded fundamental polytope in higher-dimensional Lobachevskii spaces References