On representations distinguished by unitary groups

B Feigon, E Lapid, O Offen - Publications mathématiques de l'IHÉS, 2012 - numdam.org
Let E/F be a quadratic extension of number fields. We study periods and regularized periods
of cusp forms and Eisenstein series on GLn (AE) over a unitary group of a Hermitian form …

On parabolic induction on inner forms of the general linear group over a non-archimedean local field

E Lapid, A Mínguez - Selecta Mathematica, 2016 - Springer
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 necessary …

Ext-multiplicity theorem for standard representations of

KY Chan - Mathematische Zeitschrift, 2023 - Springer
Let π 1 be a standard representation of GL n+ 1 (F) and let π 2 be the smooth dual of a
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …

Doubling constructions: local and global theory, with an application to global functoriality for non-generic cuspidal representations

Y Cai, S Friedberg, E Kaplan - arXiv preprint arXiv:1802.02637, 2018 - arxiv.org
A fundamental difficulty in the study of automorphic representations, representations of $ p $-
adic groups and the Langlands program is to handle the non-generic case. In this work we …

[HTML][HTML] Geometric conditions for□-irreducibility of certain representations of the general linear group over a non-archimedean local field

E Lapid, A Mínguez - Advances in Mathematics, 2018 - Elsevier
Let π be an irreducible, complex, smooth representation of GL n over a local non-
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …

Jacquet modules of ladder representations

A Kret, E Lapid - Comptes Rendus Mathematique, 2012 - Elsevier
Jacquet modules of ladder representations Page 1 CR Acad. Sci. Paris, Ser. I 350 (2012)
937–940 Contents lists available at SciVerse ScienceDirect CR Acad. Sci. Paris, Ser. I www.sciencedirect.com …

Homological branching law for : projectivity and indecomposability

KY Chan - Inventiones mathematicae, 2021 - Springer
Let F be a non-Archimedean local field. This paper studies homological properties of
irreducible smooth representations restricted from GL _ n+ 1 (F) GL n+ 1 (F) to GL _n (F) GL …

A binary operation on irreducible components of Lusztig's nilpotent varieties {II}: applications and conjectures for representations of over a non-archimedean local …

E Lapid, A Minguez - arXiv preprint arXiv:2111.05162, 2021 - arxiv.org
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 $ A $ we …

The generalized doubling method:(𝑘, 𝑐) models

Y Cai, S Friedberg, D Gourevitch, E Kaplan - Proceedings of the American …, 2023 - ams.org
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 …

Local newforms for the general linear groups over a non-archimedean local field

H Atobe, S Kondo, S Yasuda - Forum of Mathematics, Pi, 2022 - cambridge.org
In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-
adic general linear groups indexed by nonnegative integers and established the theory of …