论文标题
关于流形和代表理论的全球分析的主题
Topics on global analysis of manifolds and representation theory of reductive groups
论文作者
论文摘要
几何对称性诱导功能空间的对称性,后者通过表示理论产生了全局分析的线索。在本说明中,我们总结了关于几何条件如何影响功能空间中表示特性的一般理论的最新发展,重点是多重性和频谱。
Geometric symmetry induces symmetries of function spaces, and the latter yields a clue to global analysis via representation theory. In this note we summarize recent developments on the general theory about how geometric conditions affect representation theoretic properties on function spaces, with focus on multiplicities and spectrum.