Mathematical Sciences: Representations of Finite Reductive Groups: A Characteristic Free Approach Through q-Deformations

本项目涉及的是 一般线性群及其量子化校长 研究人员将研究与以下相关的Hecke代数： Weyl群在q-Schur代数上的推广 并将其应用于其他Lie类型的群。 本研究是在一般领域的代表性 有限经典群理论主要应用之一 群论对其他数学和科学领域的影响 表示理论，有限经典群是一个主要的 有限单群的源。

This project is concerned with the representation theory of general linear groups and their quantizations. The principal investigator will investigate the Hecke algebras associated with Weyl groups in an effort to extend the work on q-Schur algebras and apply it to other groups of Lie type. This research is in the general area of the representation theory of finite classical groups. One of the main applications of group theory to other mathematical and scientific fields is in representation theory, and finite classical groups are a primary source of finite simple groups.