activity
20132026
most citedGeneration of cylindrically symmetric modes and orbitalangular momentum modes with tilted optical gratings inscribed in high numerical aperture fibers

16 citations · 57 across the 29 of their papers we have counts for

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12 papers · 1 filter

math.RT2023★ 1 cited

On the weak local Arthur packets conjecture for split classical groups

Baiying Liu, Chi-Heng Lo

Recently, motivated by the theory of real local Arthur packets, making use of the wavefront sets of representations over non-Archimedean local fields , Ciubotaru, Mason-Brown, a…

math.RT2023

Quasi-admissible, raisable nilpotent orbits, and theta representations

Fan Gao, Baiying Liu, Wan-Yu Tsai

We study the quasi-admissibility and raisablility of some nilpotent orbits of a covering group. In particular, we determine the degree of the cover such that a given split nilpoten…

math.RT2023

On the local converse Theorem for split

Alexander Hazeltine, Baiying Liu

In this paper, we prove the local converse theorem for split even special orthogonal groups over a non-Archimedean local field of characteristic zero. This is the only case left on…

math.RT2022★ 3 cited

On the intersection of local Arthur packets for classical groups and applications

Alexander Hazeltine, Baiying Liu, Chi-Heng Lo

In this paper, for symplectic and split odd special orthogonal groups, we develop an account of theory on the intersection problem of local Arthur packets. Specifically, following…

math.RT2019

Degenerate principal series in the general case

Yeansu Kim, Baiying Liu, Ivan Matic

Let denote either the group , , or over a non-archimedean local field of characteristic different than two. We determine all composit…

math.RT2018

On a converse theorem for over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split over finite fields of…

math.RT2018

Uniqueness of certain Fourier-Jacobi models over finite fields

Baiying Liu, Qing Zhang

In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group over finite fields with odd characteristic. Similar results are also p…

math.RT2017★ 2 cited

Fourier coefficients attached to small automorphic representations of

Olof Ahlén, Henrik P. A. Gustafsson, Axel Kleinschmidt +2

We show that Fourier coefficients of automorphic forms attached to minimal or next-to-minimal automorphic representations of are completely determined…

math.RT2016

Model transition under local theta correspondence

Baiying Liu

We study model transition for representations occurring in the local theta correspondence between split even special orthogonal groups and symplectic groups, over a non-archimedean…

math.RT2016★ 3 cited

On the Local Converse Theorem for p-adic GLn

Herve Jacquet, Baiying Liu

In this paper, we completely prove a standard conjecture on the local converse theorem for generic representations of GLn(F), where F is a non-archimedean local field.

math.RT2014★ 2 cited

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n

Moshe Adrian, Baiying Liu, Shaun Stevens +1

Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admi…

math.RT2013★ 1 cited

The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)

Moshe Adrian, Baiying Liu

Let F be a non-archimedean local field of characteristic zero with residual characteristic p. In this paper, we present a simple proof and construction of the local Langlands corre…