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: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=528128
• 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谐波分析，重点是非交换群体，例如符合的群体和谎言组。最初，引入谐波分析是通过研究波和信号的动机，这些波浪和信号可以追溯到Euler，然后是后来的傅立叶。我目前正在从该领域的最近观点开始解决问题，主要是在20世纪发展。它被称为非共同谐波分析。这种发展的动机来自安德烈·威尔（Andre Weil）的工作，该领域是从不同方法中系统地研究各种问题的领域，从不同的方法将该领域连接到代数和功能分析。这些连接，以及操作员空间理论在谐波分析中的最新应用，使该领域变得非常相交和富有成果。