Applying amalgams to representation theory and cohomology

该项目是在纯数学/代数，更准确地说，在有限群及其表示的领域。在一系列的论文中，Ronan和Smith将表象理论的归纳和限制推广到群的汞合金的类似概念。该项目建议将这些方法专门用于Coxeter群和Lie类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。

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.