US-Federal Republic of Germany Cooperative Research: Representation of Groups and Algebras

该奖项为由芝加哥大学的乔纳森·L·阿尔佩林和埃森大学的格哈德·米克勒协调的大约22名美国和西德数学家的互惠研究访问提供了部分支持。参观者的研究活动分为六个领域：积分表示理论、特征标理论、模方法(Clifford理论、简单模的复杂性和顶点)、计算机方法、Clifford矩阵和代数表示理论。西德的类似NSF的Deutsche Forschungsgomeinschaft(DFG)正在支持群和代数表示论的一个非常大的连续程序。根据这一计划，DFG从世界各地吸引了大量数学家来到西德，在很长一段时间内与德国数学家和其他人合作和交流。在接下来的两年里，DFG将资助12名前往西德的美国游客的生活费，以及10名来美国从事这一数学领域工作的德国人的旅费。NSF将为美国数学家的旅费提供补充支持，并为德国游客在美国的部分费用提供支持。该奖项由NSF数学科学部分享，继续支持1987和1988年对26次研究访问的支持，事实证明，这些访问具有很高的生产力和互惠互利。过去和未来的参观者是一个杰出的数学家集合，他们在一个在美国和西德都非常活跃和重要的领域工作。

This award provides partial support for approximately twenty two reciprocal research visits by US and West German mathematicians, coordinated by Jonathan L. Alperin of the University of Chicago and Gerhard Michler of the University of Essen. The research activities of the visitors fall into six areas: integral representation theory, character theory, module methods (Clifford theory, complexity and vertices of simple modules,) computer methods, Clifford matrices and the representation theory of algebras. The Deutsche Forschungsgemeinschaft (DFG), the West German analog of NSF, is supporting a very large continuing program in representation theory of groups and algebras. Under this program, the DFG brings large numbers of mathematicians from around the world to West Germany for extended periods to collaborate and communicate with German mathematicians and others. Over the next two years, the DFG will support the living expenses of twelve U.S. visitors to West Germany and travel expenses for ten Germans coming to the U.S. to work in this area of mathematics. NSF will provide complementary support for the U.S. mathematicians' travel costs and partial support of the German visitors' expenses in the U.S. This award, shared by NSF's Division of Mathematical Sciences, continues support provided in 1987 and 1988 for 26 research visits that proved to be highly productive and mutually beneficial. The past and future visitors are an outstanding collection of mathematicians working in an area that is very active and important in both the U.S. and West Germany.