3 citations · 9 across the 9 of their papers we have counts for
9 papers
Casselman--Shahidi conjecture on the singularity of intertwining operators: groups of exceptional type
Caihua Luo
As a sequel to our recent work on Casselman--Shahidi's holomorphicity conjecture on half-normalized intertwining operators for quasi-split classical groups, we modify our method, b…
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…
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…
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…
Universal hierarchical structure of reducibility of Harish-Chandra parabolic induction
Caihua Luo
Given a supercuspidal representation of a parabolic subgroup of reductive group , we discover a universal hierarchical structure of reducibility of the parabolic inducti…
Muller type irreducibility criterion for generalized principal series
Caihua Luo
We obtain an irreducibility criterion for generalized principal series, extending known and frequently employed results for principal series. Our approach rests on a newly observed…
Rodier type theorem for generalized principal series
Caihua Luo
Given a regular supercuspidal representation of the Levi subgroup of a standard parabolic subgroup in a connected reductive group defined over a non-archimedean…
Endoscopic character identities for metaplectic groups
Caihua Luo
In this paper, we prove the conjectural endoscopic character identities for tempered representations of metaplectic group based on the formalism of endoscopy theory by J.…
Unitary dual of quasi-split
Caihua Luo
In this paper, we first determine the explicit Langlands classification for the quasi-split group by following Casselman-Tadi's Jacquet module machine. Based…