For over 35 years, the triple-author collaboration of Edward Cline, Brian Parshall and Leonard Scott was a leading force in the area of the representation theory of algebraic groups. The Cline-Parshall-Scott collaboration (also known as “CPS”) was the longest active triple-authored collaboration in the history of mathematics. Many of the CPS results such as Mackey Imprimitivity and their foundational work on the induction functor were key to the early development of the subject.
In this talk I will survey three of their most important contributions,
- the cohomology of finite groups of Lie type,
- rational and generic cohomology, and
- highest-weight categories.
In the process, I will also provide examples of how CPS’s work has inspired and influenced my research (with my collaborators) over the past 30 years.
This video is part of the University of Georgia‘s Algebra seminar.
