标题： C-代数及其在反射群和共形场论中的应用 显示英文标题

标题： C-algebras and their applications to reflection groups and conformal field theories

摘要： 本讲座的目的是介绍C代数的概念，并说明它在两个方面的应用：一方面是对反射群及其折叠的研究，另一方面是关于有理共形场论的结构。为简化讨论，我们限定于有限Coxeter群和具有$\hat{sl}(2)$当前代数的共形理论，但可以将其扩展到更大类别的群和与$\hat{sl}(N)$相关的理论。（京都，1996年12月16日至19日RIMS研讨会会议录。） 显示英文摘要

摘要： The aim of this lecture is to present the concept of C-algebra and to illustrate its applications in two contexts: the study of reflection groups and their folding on the one hand, the structure of rational conformal field theories on the other. For simplicity the discussion is restricted to finite Coxeter groups and conformal theories with a $\hat{sl}(2)$ current algebra, but it may be extended to a larger class of groups and theories associated with $\hat{sl}(N)$. (Proceedings of the RIMS Symposium, Kyoto, 16-19 December 1996.)