Wen-Wei Li

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20242026

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math.RT2026

Harish-Chandra D-modules for bi-Whittaker reduction

Wen-Wei Li

Let $D (G)$ be the algebra of algebraic differential operators on a complex reductive group $G$ . Denote by $W$ the bi-Whittaker quantum Hamiltonian reduction of $D (G)$ , als…

math.RT2026

Variation of additive characters in the transfer for Mp(2n)

Wen-Wei Li

Let $Mp (2 n)$ be the metaplectic group of rank $n$ over a local field $F$ of characteristic zero. In this note, we determine the behavior of endoscopic transfer for $\mathr…

math.RT2025

Decomposed Levi subgroups in BD-covers of classical groups

Wen-Wei Li

For finite topological central extensions of $p$ -adic classical groups, Heiermann and Wu introduced the notion of decomposed Levi subgroups in their study of intertwining algebras.…

math.RT2025

Spectral transfer for metaplectic groups. II. Hecke algebra correspondences

Fei Chen, Wen-Wei Li

Let $Mp (2 n)$ be the metaplectic group over a local field $F \supset Q_{p}$ defined by an additive character of $F$ of conductor $4 o_{F}$ . Gan-Savin ($p \ne…

math.RT2024

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 $I ¨ $ as a multi-set of unitary genuine irreducible re…

math.RT2024

Intertwining operators in the Takeda-Wood isomorphism

Fei Chen, Wen-Wei Li

Over any non-Archimedean local field of characteristic not equal to $2$ , Takeda and Wood constructed types for the two blocks containing the even and odd Weil representations of th…