3 papers
math.RT2020
Local theta correspondence: the basic theory
Binyong Sun, Chen-Bo Zhu
We give an elementary introduction to Classical Invariant Theory and its modern extension "Transcending Classical Invariant Theory", commonly known as the theory of local theta cor…
math.RT2018
Local theta correspondence and nilpotent invariants
Chen-Bo Zhu
We consider two types of nilpotent invariants associated to smooth representations, namely generalized Whittaker models, and associated characters (in the case of a real reductive…
math.RT2012
Vanishing of quasi-invariant generalized functions
Dihua Jiang, Binyong Sun, Chen-Bo Zhu
Determination of quasi-invariant generalized functions is important for a variety of problems in representation theory, notably character theory and restriction problems. In this n…