20 citations · 72 across the 22 of their papers we have counts for
23 papers
Harish-Chandra D-modules for bi-Whittaker reduction
Wen-Wei Li
Let be the algebra of algebraic differential operators on a complex reductive group . Denote by the bi-Whittaker quantum Hamiltonian reduction of , als…
Decomposed Levi subgroups in BD-covers of classical groups
Wen-Wei Li
For finite topological central extensions of -adic classical groups, Heiermann and Wu introduced the notion of decomposed Levi subgroups in their study of intertwining algebras.…
Spectral transfer for metaplectic groups. II. Hecke algebra correspondences
Fei Chen, Wen-Wei Li
Let be the metaplectic group over a local field defined by an additive character of of conductor . Gan-Savin ($p \ne…
Arthur packets for metaplectic groups
Wen-Wei Li
For metaplectic groups over a local field of characteristic zero, we define the Arthur packet attached to any Arthur parameter as a multi-set of unitary genuine irreducible rep…
Variation of additive characters in the transfer for Mp(2n)
Wen-Wei Li
Let be the metaplectic group of rank over a local field of characteristic zero. In this note, we determine the behavior of endoscopic transfer for $\mathr…
Intertwining operators in the Takeda-Wood isomorphism
Fei Chen, Wen-Wei Li
Over any non-Archimedean local field of characteristic not equal to , Takeda and Wood constructed types for the two blocks containing the even and odd Weil representations of th…
Higher localization and higher branching laws
Wen-Wei Li
For a connected reductive group and an affine smooth -variety over the complex numbers, the localization functor takes -modules to -modules. We extend…
Stabilization of the trace formula for metaplectic groups
Wen-Wei Li
We stabilize the full Arthur-Selberg trace formula for the metaplectic covering of symplectic groups over a number field. This provides a decomposition of the invariant trace formu…
Variations on themes of Sato
Wen-Wei Li
In the first part of this article, we review a formalism of local zeta integrals attached to spherical reductive prehomogeneous vector spaces, which partially extends M. Sato's the…
Generalized zeta integrals on certain real prehomogeneous vector spaces
Wen-Wei Li
Let be a real prehomogeneous vector space under a reductive group , such that is an absolutely spherical -variety with affine open orbit. We define local zeta integra…
Counting abelian varieties over finite fields via Frobenius densities
Jeff Achter, Salim Ali Altug, Luis Garcia +3
Let be a principally polarized abelian variety over a finite field with commutative endomorphism ring; further suppose that either is ordinary or the field is prime. Mo…
On the regularity of D-modules generated by relative characters
Wen-Wei Li
Following the ideas of Ginzburg, for a subgroup of a connected reductive -group we introduce the notion of -admissible -modules on a homogeneous -varie…
Some Relations on Paratopisms and An Intuitive Interpretation on the Parastrophes of a Latin Square
Wen-Wei Li, Jia-Bao Liu, Xin Hou
This paper will present some intuitive interpretation of the parastrophe transformations of arbitrary Latin square. With this trick, we can generate the parastrophes of arbitrary L…
Contragredient representations over local fields of positive characteristic
Wen-Wei Li
It is conjectured by Adams-Vogan and Prasad that under the local Langlands correspondence, the L-parameter of the contragredient representation equals that of the original represen…
Stable conjugacy and epipelagic L-packets for Brylinski-Deligne covers of Sp(2n)
Wen-Wei Li
Let be a local field of characteristic not . We propose a definition of stable conjugacy for all the covering groups of constructed by Brylinski and Deli…
On the Number of Conjugate Classes of Derangements
Wen-Wei Li, Zhong-Lin Cheng, Jia-Bao Liu
The number of conjugate classes of derangements of order is the same as the number of the restricted partitions with every portion greater than . It is also equal to…
The Shimura-Waldspurger correspondence for Mp(2n)
Wee Teck Gan, Wen-Wei Li
We describe some recent developments and formulate some conjectures in the genuine representation theory and the study of automorphic forms of the metaplectic group $\mathrm{Mp}(2n…
Towards generalized prehomogeneous zeta integrals
Wen-Wei Li
Let be a prehomogeneous vector space under a connected reductive group over . Assume that the open -orbit admits a finite covering by a symmetric space…
Zeta integrals, Schwartz spaces and local functional equations
Wen-Wei Li
According to Sakellaridis, many zeta integrals in the theory of automorphic forms can be produced or explained by appropriate choices of a Schwartz space of test functions on a sph…
Spectral transfer for metaplectic groups. I. Local character relations
Wen-Wei Li
Let be the metaplectic covering of over a local field of characteristic zero. The core of the theory of endoscopy for $\widetilde{\m…
Basic functions and unramified local L-factors for split groups
Wen-Wei Li
According to a program of Braverman, Kazhdan and Ngô Bao Châu, for a large class of split unramified reductive groups and representations of the dual group , the u…
Dual R-groups of the inner forms of SL(N)
Kuok Fai Chao, Wen-Wei Li
We study the Knapp-Stein R-groups of the inner forms of SL(N) over a non-archimedean local field of characteristic zero, by using restriction from the inner forms of GL(N). As conj…
On a pairing of Goldberg-Shahidi for even orthogonal groups
Wen-Wei Li
Let σ\otimesπ be a supercuspidal representation of SO(2n) \times GL(2n) over a p-adic field with π selfdual, where SO(2n) stands for a quasisplit even special orthogonal group. In…