Harmonic analysis on Lie groups via hypergroup convolution structures

李群上的调和分析通过超群卷积结构。这个项目研究幂零和紧李群的共轭类的卷积结构，以及与融合规则代数的联系。其目的是建立一个合适的理论，几乎周期函数的幂零李群，允许\r\n包装定理制定，精确描述的\r\n类超群的紧李群，并澄清后者与融合规则代数的关系。这将使我们对基里洛夫轨道方法有更深的理解，并使其在共形场论中有更广泛的应用。

Harmonic analysis on Lie groups via hypergroup convolution structures. This project studies convolution structures for conjugacy classes\r\nof nilpotent and compact Lie groups and the connections with fusion rule algebras. The aims are to establish a suitable theory of almost periodic functions on a nilpotent Lie group to allow a\r\nwrapping theorem to be formulated, to describe precisely the\r\nclass hypergroup of a compact Lie group, and to clarify the relations of the latter with fusion rule algebras. This will result in further understanding of the Kirillov orbit method and the have applications to conformal field theory.