16 citations · 87 across the 24 of their papers we have counts for
9 papers · 1 filter
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 be a non-archimedean local field. The classification of the irreducible representations of , in terms of supercuspidal representations is one of the highli…
A note on the representation theory of central extensions of reductive -adic groups
Eyal Kaplan, Dani Szpruch
In this note, we verify that several fundamental results from the theory of representations of reductive -adic groups, extend to finite central extensions of these groups.
On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups
Moshe Adrian, Eyal Kaplan
Let be a simple supercuspidal representation of the split even special orthogonal group. We compute the Rankin-Selberg -factors for rank 1-twists of by quadratic tamely…
The Langlands parameter of a simple supercuspidal representation: Symplectic groups
Moshe Adrian, Eyal Kaplan
Let be a simple supercuspidal representation of the symplectic group , over a -adic field . In this work, we explicitly compute the Rankin-Selberg -factor…
The characterization of theta-distinguished representations of
Eyal Kaplan
Let and be a pair of exceptional representations in the sense of Kazhdan and Patterson [KP], of a metaplectic double cover of . The tensor is a (very la…
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 of a -adic odd orthogonal group. These computations, t…
Theta distinguished representations, inflation and the symmetric square L-function
Eyal Kaplan
Let be a representation of a group . We say that a representation is -distinguished, if it is a quotient of . It is natural to ask whether this notion "i…
The double cover of odd general spin groups, small representations and applications
Eyal Kaplan
We construct local and global metaplectic double covers of odd general spin groups, using the cover of Matsumoto of spin groups. Following Kazhdan and Patterson, a local exceptiona…
Representations distinguished by pairs of exceptional representations and a conjecture of Savin
Eyal Kaplan
We study representations of GL(n) appearing as quotients of a tensor of exceptional representations, in the sense of Kazhdan and Patterson. Such representations are called distingu…