3 papers
math.RT2025
On parabolic induction and Jacquet modules over p-adic group
Jingsong Chai
In this note, using tensor products with appropriate bimodules over Hecke algebras, we uniformly describe parabolic induction and Jacquet module. We also recover a result of Loke a…
math.RT2018
On the Waldspurger Formula and the Metaplectic Ramanujan Conjecture over Number Fields
Jingsong Chai, Zhi Qi
In this paper, by inputting the Bessel identities over the complex field in previous work of the authors, the Waldspurger formula of Baruch and Mao is extended from totally real fi…
math.RT2018
Bessel Identities in the Waldspurger Correspondence over the Complex Numbers
Jingsong Chai, Zhi Qi
We prove certain identities between relative Bessel functions attached to irreducible unitary representations of and Bessel functions attached to irred…