Applying amalgams to representation theory and cohomology

将汞齐应用于表示论和上同调

• 批准号: 1935781
• 金额: --
• 依托单位: University of Birmingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1935781
• 关键词: Applying; amalgams; representation; theory; cohomology

The project is in Pure Mathematics/Algebra, more precisely in the area of finite groups ant their representations.In a series of papers Ronan and Smith introduced a generalisation of induction and restriction from representation theory to similar concepts on amalgams of groups. The project proposes to specialise these methods to specific amalgam presentation of Coxeter groups and groups of of Lie type and use them to compute their representations and cohomology.

该项目属于纯数学/代数，更准确地说是有限群及其表示领域。在一系列论文中，罗南和史密斯介绍了从表示论到群的混合的类似概念的归纳和限制的推广。该项目建议将这些方法专门用于 Coxeter 群和李型群的特定混合表示，并使用它们来计算它们的表示和上同调。