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

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。这个国际项目的目的是研究有限群的各种表示环的结构，即单项表示环、平凡和线性源环、Green环和其他变量。这些结果可望应用于推广关于Euler特征的Brown定理和代数数论中的不变量，并可能揭示与代数拓扑的联系。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从两个合作者的互补优势中受益，并在早期阶段向他们介绍国际合作，以促进进一步的思想交流。

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.