Lie-type methods for totally disconnected groups

完全不相关群体的谎言型方法

• 批准号: LX0349209
• 负责人: Prof George Willis
• 金额: $ 2.03万
• 依托单位: The University of Newcastle
• 依托单位国家: 澳大利亚
• 项目类别: Linkage - International
• 财政年份: 2003
• 资助国家: 澳大利亚
• 起止时间: 2003-01-01 至 2007-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/LX0349209
• 关键词: Lie; type; methods; totally; disconnected

Groups are algebraic objects which convey symmetry, much as numbers convey size. For example, the rotations of a sphere form a group. This rotation group is one of a class known as the Lie groups that is well understood and has important applications. Totally disconnected groups arise as symmetries of network structures having nodes and a `neighbour' relation between nodes. The Australian investigator has discovered powerful methods for analysing totally disconnected groups which have parallels with Lie group techniques. This project will develop these parallels and establish links with international researchers on Lie groups.

群是传达对称性的代数对象，就像数字传达大小一样。例如，球体的旋转形成一个组。这个旋转群是一类被称为李群的群之一，它被很好地理解并具有重要的应用。完全不连通的群是由节点和节点之间的“邻居”关系构成的网络结构的对称性而产生的。澳大利亚研究人员发现了分析完全不连通群的强大方法，这些方法与李群技术相似。该项目将发展这些相似之处，并与李群的国际研究人员建立联系。