U.S.-Germany Cooperative Research: Representation Rings of Finite Groups

美德合作研究：有限群表示环

• 批准号: 0128969
• 负责人: Robert Boltje
• 金额: $ 2.4万
• 依托单位: University of California-Santa Cruz
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-03-15 至 2005-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0128969&HistoricalAwards=false
• 关键词: U.S.; Germany; Cooperative; Research; Representation

0128969BoltjeThis award supports Robert Boltje and students from the University of California-Santa Cruz in a collaboration with Burkhard Kulshammer of the Department of Mathematics at the University of Jena, Germany. The aim of the international project is to study the structure of various representation rings of finite groups, viz., the ring of monomial representations, the trivial and linear source ring, the Green ring, and other viariants. The results are expected to have applications to generalizations of Brown's theorem on Euler characteristics and to invariants in algebraic number theory, and might also uncover connections to algebraic topology. The work plan provides for extensive participation by graduate students in the international travel and research, and the exchange is intendedto let them benefit from the complementary strengths of both collaborators and to introduce them at an early stage to international collaboration to stimulate further exchange of ideas.

0128969Boltje 该奖项支持 Robert Boltje 和加州大学圣克鲁斯分校的学生与德国耶拿大学数学系的 Burkhard Kulshammer 合作。 该国际项目的目的是研究有限群的各种表示环的结构，即单项式表示环、平凡和线性源环、格林环和其他变体。 研究结果预计将应用于欧拉特征布朗定理的推广和代数数论中的不变量，并且还可能揭示与代数拓扑的联系。 该工作计划规定研究生广泛参与国际旅行和研究，交流的目的是让他们受益于双方合作者的优势互补，并尽早向他们介绍国际合作，以促进进一步的思想交流。