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Gamma factors and converse theorems for classical groups over finite fields

https://doi.org/10.1016/j.jnt.2021.06.024

Liu, Baiying; Zhang, Qing (July 2021, Journal of Number Theory)
null (Ed.)
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Degenerate principal series for classical and odd GSpin groups in the general case

https://doi.org/10.1090/ert/548

Kim, Yeansu; Liu, Baiying; Matić, Ivan (August 2020, Representation Theory of the American Mathematical Society)

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On the local converse theorem and the descent theorem in families

https://doi.org/10.1007/s00209-019-02350-5

Liu, Baiying; Moss, Gilbert (June 2020, Mathematische Zeitschrift)

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On top Fourier coefficients of certain automorphic representations of $${\mathrm {GL}}_n$$

https://doi.org/10.1007/s00229-019-01176-z

Liu, Baiying; Xu, Bin (January 2020, manuscripta mathematica)

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A refined Poisson summation formula for certain Braverman-Kazhdan spaces

https://doi.org/10.1007/s11425-018-1616-0

Getz, Jayce Robert; Liu, Baiying (January 2020, Science China Mathematics)

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A reciprocal branching problem for automorphic representations and global Vogan packets

https://doi.org/10.1515/crelle-2019-0016

Jiang, Dihua; Liu, Baiying; Xu, Bin (August 2019, Journal für die reine und angewandte Mathematik (Crelles Journal))

Abstract Let G be a group and let H be a subgroup of G . The classical branching rule (or symmetry breaking) asks: For an irreducible representation π of G ,determine the occurrence of an irreducible representation σ of H in the restriction of π to H . The reciprocal branching problem of this classical branching problemis to ask: For an irreducible representation σ of H , find an irreducible representation π of G such that σ occurs in the restrictionof π to H . For automorphic representations of classical groups, the branching problem has been addressed by the well-known global Gan–Gross–Prasad conjecture.In this paper, we investigate the reciprocal branching problem for automorphic representationsof special orthogonal groups using the twisted automorphic descent method as developed in [13]. The method may be applied toother classical groups as well.
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Uniqueness of certain Fourier-Jacobi models over finite fields

https://doi.org/10.1016/j.ffa.2019.03.007

Liu, Baiying; Zhang, Qing (July 2019, Finite Fields and Their Applications)

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A summation formula for triples of quadratic spaces

https://doi.org/10.1016/j.aim.2019.02.023

Getz, Jayce R.; Liu, Baiying (April 2019, Advances in Mathematics)

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Fourier coefficients attached to small automorphic representations of ${SL}_{n} (A)$

https://doi.org/10.1016/j.jnt.2018.03.022

Ahlén, Olof; Gustafsson, Henrik P.A.; Kleinschmidt, Axel; Liu, Baiying; Persson, Daniel (November 2018, Journal of Number Theory)

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A remark on a converse theorem of Cogdell and Piatetski-Shapiro

https://doi.org/10.1515/crelle-2018-0015

Jacquet, Hervé; Liu, Baiying (May 2018, Journal für die reine und angewandte Mathematik (Crelles Journal))

Abstract In this paper, we reprove a global converse theorem of Cogdell and Piatetski-Shapiro using purely global methods.
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