3 papers
math.NT2021
Holomorphy of normalized intertwining operators for certain induced representations I: a toy example
Caihua Luo
The theory of intertwining operators plays an important role in the development of the Langlands program. This, in some sense, is a very sophisticated theory, but the basic questio…
math.RT2021
Casselman-Shahidi's conjecture on normalized intertwining operators for groups of classical type
Caihua Luo
Intertwining operators play an essential role and appear everywhere in the Langlands program, their analytic properties interact directly, yet deeply with the decomposition of para…
math.RT2021
Location of reducibility points of induced representations I: A toy example
Caihua Luo
By analyzing the singularity of standard intertwining operators, we provide a new way to understand the explicit location of reducibility points of induced representations of two S…