中科院数学与系统科学研究院
数学研究所
学术报告
表示论研讨班
报告人：余君 教授 (北京大学)
题 目：Cartan-Helgason theorem for quaternionic symmetric pairs
时 间：2023.08.24（星期四）15:00-16:00
地 点：N802
摘 要：we present a joint work with Clemens Weiske and Genkai Zhang (Sweden). It shows a branching law for compact symmetric pairs K\subset G of quaternionic type. Precisely to say, K is a product of a simple group M and an SU(2) factor. We describe the multiplicities m(\lambda,m)=\dim\Hom_{K}(V_{G,\lambda},S^{m}(C^{2})), where C^{2} is the natural representation of SU(2).