37 citations · 52 across the 11 of their papers we have counts for
4 papers · 1 filter
Equivariant deformation quantization and coadjoint orbit method
Naichung Conan Leung, Shilin Yu
The purpose of this paper is to apply deformation quantization to the study of the coadjoint orbit method in the case of real reductive groups. We first prove some general results…
Mackey analogy as deformation of -modules
Shilin Yu
Given a real reductive group Lie group , the Mackey analogy is a bijection between the set of irreducible tempered representations of and the set of ir…
A geometric realisation of tempered representations restricted to maximal compact subgroups
Peter Hochs, Yanli Song, Shilin Yu
Let be a connected, linear, real reductive Lie group with compact centre. Let be maximal compact. For a tempered representation of , we realise the restriction $π|…
Mackey analogy via -modules in the example of
Qijun Tan, Yijun Yao, Shilin Yu
A conjecture by Mackey and Higson claims that there is close relationship between irreducible representations of a real reductive group and those of its Cartan motion group. The ca…