Eyal Kaplan

activity

20142026

most citedThe double cover of odd general spin groups, small representations and applications

16 citations · 87 across the 24 of their papers we have counts for

collaborators

27 papers

math.NT2026

Bounds for (k,c) model functions over p-adic fields

Eyal Kaplan

Let $F$ be a $p$ -adic field, let $k, c \geq 1$ , and let $ρ$ be a $(k, c)$ representation of $GL_{k c} (F)$ : a complex representation of finite length whose wave front set has $(k…

math.LO2026

Preserving the Ultrapower Axiom by Forcing over Nonoverlapping Extender Models

Eyal Kaplan

We identify a class of simple yet nontrivial forcing notions that preserve the Ultrapower Axiom (UA) over canonical inner models, reaching the level of a strong cardinal. The forci…

math.LO2025

A note on the Ketonen order and Lipschitz reducibility between ultrafilters

Eyal Kaplan

In his study of the Ultrapower Axiom (UA), Goldberg revealed a connection between UA and the determinacy of certain games that witness Lipschitz reducibility between ultrafilters.…

math.LO2025

The number of normal measures, revisited

Eyal Kaplan

We present a new version of the Friedman-Magidor theorem: for every measurable cardinal $κ$ and $τ \leq κ^{++}$ , there exists a forcing extension $V \subseteq V [G]$ such that any norm…

math.LO2024

On fresh sets in iterations of Prikry type forcing notions

Moti Gitik, Eyal Kaplan

We examine the existence (and mostly non-existence) of fresh sets in commonly used iterations of Prikry type forcing notions. Results of [4] are generalized. As an application, a q…

math.NT2023★ 3 cited

Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields

Moshe Adrian, Guy Henniart, Eyal Kaplan +1

We consider the split special orthogonal group $SO_{N}$ defined over a $p$ -adic field. We determine the structure of any $L$ -packet of $SO_{N}$ containing a simpl…

math.LO2023★ 1 cited

On Easton support iteration of Prikry type forcing notions

Moti Gitik, Eyal Kaplan

We consider here Easton support iterations of Prikry type forcing notions. New ways of constructing normal ultrafilters in extensions are presented. It turns out that, in contrast…

math.RT2022

Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

Eyal Kaplan, Erez Lapid, Jiandi Zou

Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $G L_{n} (F)$ , $n \geq 0$ in terms of supercuspidal representations is one of the highli…

math.RT2022

A note on the representation theory of central extensions of reductive $p$ -adic groups

Eyal Kaplan, Dani Szpruch

In this note, we verify that several fundamental results from the theory of representations of reductive $p$ -adic groups, extend to finite central extensions of these groups.

math.LO2022★ 1 cited

The Magidor Iteration and Restrictions of Ultrapowers to the Ground Model

Eyal Kaplan

We study the Magidor iteration of Prikry forcings below a measurable limit of measurables $κ$ . We first characterize all the normal measures $κ$ carries in the generic extension,…

math.NT2021

The generalized doubling method: $(k, c)$ models

Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch +1

One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called $(k, c)$ models, for local components of generalized Speh r…

math.LO2021

Non-stationary support iterations of Prikry Forcings and Restrictions of Ultrapower Embeddings to the Ground Model

Moti Gitik, Eyal Kaplan

We study the nonstationary-support iteration of Prikry forcings below a measurable cardinal κ, characterizing all the normal measures it carries in the generic extension. We then a…

math.NT2020★ 3 cited

Doubling Constructions: the complete L-function for coverings of the symplectic group

Eyal Kaplan

We develop the local theory of the generalized doubling method for the $m$ -fold central extension $S p_{2 n}^{(m)}$ of Matsumoto of the symplectic group. We define local $γ$ -, $L$ - a…

math.NT2019★ 1 cited

Multiplicity one theorems for the generalized doubling method

Avraham Aizenbud, Dmitry Gourevitch, Eyal Kaplan

In this work we prove the local multiplicity at most one theorem underlying the definition and theory of local $γ$ -, $ε$ - and $L$ -factors, defined by virtue of the generalized doub…

math.RT2019

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups

Moshe Adrian, Eyal Kaplan

Let $π$ be a simple supercuspidal representation of the split even special orthogonal group. We compute the Rankin-Selberg $γ$ -factors for rank 1-twists of $π$ by quadratic tamely…

math.NT2019★ 15 cited

Doubling Constructions and Tensor Product $L$ -Functions: coverings of the symplectic group

Eyal Kaplan

In this work we develop an integral representation for the partial $L$ -function of a pair $π \times τ$ of genuine irreducible cuspidal automorphic representations, $π$ of the $m$ -fol…

math.RT2018

The Langlands parameter of a simple supercuspidal representation: Symplectic groups

Moshe Adrian, Eyal Kaplan

Let $π$ be a simple supercuspidal representation of the symplectic group $S p_{2 l} (F)$ , over a $p$ -adic field $F$ . In this work, we explicitly compute the Rankin-Selberg $γ$ -factor…

math.NT2018★ 14 cited

Doubling constructions: Global functoriality for non-generic cuspidal representations

Yuanqing Cai, Solomon Friedberg, Eyal Kaplan

We study the generalized doubling method for pairs of representations of $G \times G L_{k}$ where $G$ is a symplectic group, split special orthogonal group or split general spin group.…

math.NT2017★ 1 cited

Doubling Constructions and Tensor Product $L$ -Functions: the linear case

Yuanqing Cai, Solomon Friedberg, David Ginzburg +1

We present an integral representation for the tensor product $L$ -function of a pair of automorphic cuspidal representations, one of a classical group, the other of a general linear…

math.NT2016★ 8 cited

A Godement-Jacquet type integral and the metaplectic Shalika model

Eyal Kaplan, Jan Möllers

We present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes…

math.NT2016★ 8 cited

Doubling Constructions for Covering Groups and Tensor Product L-Functions

Yuanqing Cai, Solomon Friedberg, David Ginzburg +1

This is a research announcement concerning a series of constructions obtained by applying the "doubling method" from the theory of automorphic forms to covering groups. Using these…

math.NT2015

On the Local Theory of Rankin-Selberg Convolutions for $S O_{2l} \times G L_{n}$

Eyal Kaplan

The Rankin-Selberg method for studying Langlands' automorphic $L$ -functions is to find integral representations, involving certain Fourier coefficients of cusp forms and Eisenstein…

math.RT2015

The characterization of theta-distinguished representations of $G L_{n}$

Eyal Kaplan

Let $θ$ and $θ^{'}$ be a pair of exceptional representations in the sense of Kazhdan and Patterson [KP], of a metaplectic double cover of $G L_{n}$ . The tensor $θ \otimes θ^{'}$ is a (very la…

math.RT2015★ 9 cited

On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups

Moshe Adrian

In this work, we explicitly compute a certain family of twisted gamma factors of a simple supercuspidal representation $π$ of a $p$ -adic odd orthogonal group. These computations, t…

Bounds for (k,c) model functions over p-adic fields

Preserving the Ultrapower Axiom by Forcing over Nonoverlapping Extender Models

A note on the Ketonen order and Lipschitz reducibility between ultrafilters

The number of normal measures, revisited

On fresh sets in iterations of Prikry type forcing notions

Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields

On Easton support iteration of Prikry type forcing notions

Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

A note on the representation theory of central extensions of reductive p-adic groups

The Magidor Iteration and Restrictions of Ultrapowers to the Ground Model

The generalized doubling method: (k,c) models

Non-stationary support iterations of Prikry Forcings and Restrictions of Ultrapower Embeddings to the Ground Model

Doubling Constructions: the complete L-function for coverings of the symplectic group

Multiplicity one theorems for the generalized doubling method

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups

Doubling Constructions and Tensor Product L-Functions: coverings of the symplectic group

The Langlands parameter of a simple supercuspidal representation: Symplectic groups

Doubling constructions: Global functoriality for non-generic cuspidal representations

Doubling Constructions and Tensor Product L-Functions: the linear case

A Godement-Jacquet type integral and the metaplectic Shalika model

Doubling Constructions for Covering Groups and Tensor Product L-Functions

On the Local Theory of Rankin-Selberg Convolutions for SO2l​×GLn​

The characterization of theta-distinguished representations of GLn​

On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups

A note on the representation theory of central extensions of reductive $p$ -adic groups

The generalized doubling method: $(k, c)$ models

Doubling Constructions and Tensor Product $L$ -Functions: coverings of the symplectic group

Doubling Constructions and Tensor Product $L$ -Functions: the linear case

On the Local Theory of Rankin-Selberg Convolutions for $S O_{2l} \times G L_{n}$

The characterization of theta-distinguished representations of $G L_{n}$