68 citations · 421 across the 29 of their papers we have counts for
29 papers
On the convergence of zeta functions of prehomogeneous vector spaces
Tobias Finis, Erez Lapid
We prove a general convergence result for zeta functions of prehomogeneous vector spaces extending results of H. Saito, F. Sato and Yukie. Our analysis points to certain subspaces…
A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of over a non-archimedean local field
Erez Lapid, Alberto Minguez
In the first part of the paper we defined and studied a binary operation on the set of irreducible components of Lusztig's nilpotent varieties of a quiver. For type we conjectu…
Some combinatorial results on smooth permutations
Shoni Gilboa, Erez Lapid
We show that any smooth permutation is characterized by the set of transpositions and -cycles in the Bruhat interval , and that i…
Conjectures and results about parabolic induction of representations of
Erez Lapid, Alberto Minguez
In 1980 Zelevinsky introduced commuting varieties whose irreducible components classify complex, irreducible representations of the general linear group over a non-archimedean loca…
Explicit decomposition of certain induced representations of the general linear group
Erez Lapid
We provide some experimental results on the decomposition of the parabolic induction of in the Grothendieck group where is an irreducible representation of o…
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
Tobias Finis, Erez Lapid
Let be a locally symmetric space defined by a simple Chevalley group and a congruence subgroup of . In this generality, the Weyl law for was proved by Lin…
Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field
Maxim Gurevich, Erez Lapid
We construct new "standard modules" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth c…
Local Rankin--Selberg integrals for Speh representations
Erez M. Lapid, Zhengyu Mao
We construct analogues of Rankin--Selberg integrals for Speh representations of the general linear group over a -adic field. The integrals are in terms of the Shalika model and…
On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field
Erez Lapid
We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in p…
A tightness property of relatively smooth permutations
Erez Lapid
It is well known that many geometric properties of Schubert varieties of type can be interpreted combinatorially. Given two permutations we give a combinatorial co…
On the analytic properties of intertwining operators II: local degree bounds and limit multiplicities
Tobias Finis, Erez Lapid
In this paper we continue to study the degrees of matrix coefficients of intertwining operators associated to reductive groups over -adic local fields. Together with previous an…
Conjectures about certain parabolic Kazhdan--Lusztig polynomials
Erez Lapid
Irreducibility results for parabolic induction of representations of the general linear group over a local non-archimedean field can be formulated in terms of Kazhdan--Lusztig poly…
Some results on reducibility of parabolic induction for classical groups
Erez Lapid, Marko Tadić
Given a (complex, smooth) irreducible representation of the general linear group over a non-archimedean local field and an irreducible supercuspidal representation of a cla…
Geometric conditions for -irreducibility of certain representations of the general linear group over a non-archimedean local field
Erez Lapid, Alberto Minguez
Let be an irreducible, complex, smooth representation of over a local non-archimedean (skew) field. Assuming has regular Zelevinsky parameters, we give a geometric n…
On the analytic properties of intertwining operators I: global normalizing factors
Tobias Finis, Erez Lapid
We provide a uniform estimate for the -norm (over any interval of bounded length) of the logarithmic derivatives of global normalizing factors associated to intertwining opera…
On the continuity of the geometric side of the trace formula
Tobias Finis, Erez Lapid
We extend the geometric side of Arthur's non-invariant trace formula for a reductive group defined over continuously to a natural space $\mathcal{C}(G(\mathbb{A}^1…
An approximation principle for congruence subgroups II: application to the limit multiplicity problem
Tobias Finis, Erez Lapid
This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.
On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
Erez Lapid, Zhengyu Mao
We study Whittaker--Fourier coefficients of automorphic forms on a quasi-split unitary group. We reduce the analogue of the Ichino--Ikeda conjectures to a conjectural local stateme…
On parabolic induction on inner forms of the general linear group over a non-archimedean local field
Erez Lapid, Alberto Mínguez
We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a nece…
Whittaker rational structures and special values of the Asai -function
Harald Grobner, Michael Harris, Erez Lapid
Let be a totally real number field and a totally imaginary quadratic extension of . Let be a cohomological, conjugate self-dual cuspidal automorphic representation…
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
Atsushi Ichino, Erez Lapid, Zhengyu Mao
The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoin…
On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
Erez Lapid, Zhengyu Mao
In previous papers we formulated an analogue of the Ichino--Ikeda conjectures for Whittaker--Fourier coefficients of automorphic forms on classical group and the metaplectic group.…
Model transition for representations of metaplectic type
Erez Lapid, Zhengyu Mao
We study the interplay between different models of the same irreducible representation of the -points of a reductive group over a local field.
A conjecture on Whittaker-Fourier coefficients of cusp forms
Erez Lapid, Zhengyu Mao
We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures…