Cohomological properties of group algebras and Fourier algebras

群代数和傅里叶代数的上同调性质

• 批准号: 366066-2009
• 负责人: Samei, Ebrahim
• 金额: $ 1.53万
• 依托单位: University of Saskatchewan
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503672
• 关键词: Cohomological; properties; group; algebras; Fourier

My main field of research is harmonic analysis with an emphasis on non- commutative groups such as amenable groups and Lie groups. Originally the introduction of harmonic analysis was motivated by studying waves and signals which goes back as far as Euler and later on Fourier. I am currently addressing problems from a recent point of view in this field developed mainly in 20th century; it is called non-commutative harmonic analysis. The motivation for such development came from the work of Andre Weil of creating an area that systematically studies various questions in harmonic analysis from different approaches, connecting this field to algebra and functional analysis. These connections, along with the recent applications of operator space theory to harmonic analysis, have made this area quite intersecting and fruitful.

我的主要研究领域是调和分析，重点是非交换群，例如服从群和李群。最初引入调和分析的动机是研究波和信号，其历史可以追溯到欧拉和后来的傅里叶。我目前正在从这个主要在20世纪发展起来的领域的最新观点来解决问题；它被称为非交换调和分析。这种开发的动机来自安德烈·韦尔 (Andre Weil) 的工作，他创建了一个领域，通过不同的方法系统地研究调和分析中的各种问题，并将该领域与代数和泛函分析联系起来。这些联系，加上最近算子空间理论在调和分析中的应用，使这个领域变得非常交叉且富有成效。