Mathematical Sciences: NSF/CBMS Regional Conferences in theMathematical Sciences; 'Hopf Algebras and Their Actions on Rings'; August 11-15, 1992

在过去的几年里，人们对霍普夫代数重新产生了兴趣。 因为量子群的主要例子。 关于Hopf代数的一般知识可能对那些 对量子群感兴趣;相反，量子群 引入了一些新的纯代数的想法到霍普夫代数。 独立于与量子群的任何联系， 许多新的发展，在霍普夫代数，包括解决方案 两个老古董。 也有很多工作延伸到 关于群作用到Hopf作用和相互作用的事实 代数 此外，鉴于对Hopf代数的兴趣， 环论、算子代数和组合学中的技术， 该领域将呼吁观众的霍普夫代数学家，环 理论家组合学家和算子代数学家 该项目将支持NSF-CBMS区域研究 在数学科学会议上的霍普夫代数和 他们对环的行动将于1992年8月11日至15日在德保罗举行 大学 芝加哥大学的苏珊·蒙哥马利教授 南加州将是主要讲师。 刺激 兴趣和活动在数学研究，国家 科学基金会每年支持一些NSF-CBMS 数学科学区域研究会议。 每个 为期五天的会议有一位杰出的讲师， 提供了十个讲座的重要当前研究的主题， 数学科学中一个非常重要的领域 的 讲师随后根据以下内容编写了一本简要的专著 这些演讲通常由美国人出版， 数学学会或工业与应用数学学会 数学，或由美国统计协会联合 和数理统计研究所。 某些特征 将这些会议与典型的研究区分开来 两会 （1）注重一个重要的、 由一位领先的从业者进行及时的研究领域，（2）续 （3）小组讨论 审查质量、广度和及时性，以及（4）出版 为更广泛的观众提供专题论文。

There has been renewed interest in Hopf algebras in the last several years because of the major example of quantum groups. General knowledge about Hopf algebras may be useful to those interested in quantum groups; conversely, quantum groups have introduced some new purely algebraic ideas into Hopf algebras. Independent of any connection to quantum groups, there have been many new developments in Hopf algebras, including the solution of two old conjectures. There has also been much work extending facts about group actions to actions and coactions of Hopf algebras. In addition, in light of the interest in Hopf algebra techniques in ring theory, operator algebras, and combinatorics, the field would appeal to an audience of Hopf algebraists, ring theorists, combinatorists, and operator algebraists. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Hopf Algebras and Their Actions on Rings to be held August 11-15, 1992 at DePaul University. Professor Susan Montgomery of the University of Southern California will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.