2 citations · 2 across the 4 of their papers we have counts for
9 papers · 1 filter
Multiplicity one for the pair (GL(n,D),GL(n,E))
Hengfei Lu
Let F be a local field of characteristic zero. Let D be a quaternion algebra over F. Let E be a quadratic field extension of F. Let μ be a character of GL(1,E). We study the distin…
The action of a mirabolic subgroup on a symmetric variety
Hengfei Lu
Let F be a local field of character zero. Let E be a quadratic field extension of F. We show that any P-invariant linear functional on a GL(n,E)-distinguished irreducible smooth ad…
The Siegel-Weil formula for unitary groups: the second term range
Hengfei Lu
We study the Siegel-Weil formula in the second term range () for unitary groups of hermitian forms over a skew-field with involution of the second kind.
The distinction problem for metaplectic case
Hengfei Lu
We use the theta lifts between Mp(2) and PD to study the distinction problems for the pair (Mp(2,E), SL(2,F )), where E is a quadratic field extension over a nonarchimedean local f…
The Prasad conjectures for U(2), SO(4) and Sp(4)
Hengfei Lu
We will give a proof to the Prasad conjectures for , and over a quadratic field extension.
Some applications of theta correspondence to branching laws
Hengfei Lu
In this paper, we will use the local theta correspondences for the dual pair (Sp(W),O(V)) to investigate some branching law problems.