论文标题
与任意二次形式相关的广义双曲空间
Generalized Hyperbolic Spaces Associated with Arbitrary Quadratic Forms
论文作者
论文摘要
Vahlen群体为通过Möbius变换作用的组的每个维度的双曲空间提供了一种方法。由于现在在与2个不同特征的任何特征领域中定义了Vahlen组和Paravector Vahlen基团，因此我们通过定义适当的边界组件来建立它们作为Möbius变换的类似空间，以防万一Möbius变换式中的分子量必须添加的适当边界组件。
The Vahlen group gives a way for presenting the hyperbolic space of every dimension of a group acting via Möbius transformations. As Vahlen groups and paravector Vahlen groups are now defined over any field of characteristic different from 2, we establish analogous spaces on which they operate transitively as Möbius transformations, by defining appropriate boundary components that must be added in case the denominator in the Möbius transformation formula vanishes.
