3 papers
math.RT2024
A geometric study of BZ operator on representations of over non-archimedean field
Taiwang Deng
In this article, we geometrically study the partial Bernstein-Zelevinsky operator introduced in the author's thesis, which generalizes the original Bernstein-Zelevinsky operator. W…
math.RT2024
Some geometric consequences of the symmetric reduction
Taiwang Deng
In this article, we derived some consequences to the symmetrization process developed in \cite{Deng23}. This consists a geometric derivation of part of the properties which uniquel…
math.RT2023
Stability of Rankin-Selberg local -factors for split classical groups: the symplectic case
Taiwang Deng, Dongming She
Given a split classical group of symplectic type and a split general linear group over a local field , we use Langlands-Shahidi method to construct their Rankin-Selberg local $γ…