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 …

On restriction of unitarizable representations of general linear groups and the non-generic local Gan–Gross–Prasad conjecture

M Gurevich - Journal of the European Mathematical Society, 2021 - ems.press
On restriction of unitarizable representations of general linear groups and the non-generic
local Gan–Gross–Prasad conjectur Page 1 © 2021 European Mathematical Society Published …

Simple modules for quiver Hecke algebras and the Robinson–Schensted–Knuth correspondence

M Gurevich - Journal of the London Mathematical Society, 2023 - Wiley Online Library
We formalize some known categorical equivalences to give a rigorous treatment of smooth
representations of pp‐adic general linear groups, as ungraded modules over quiver Hecke …

Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-Archimedean local field

M Gurevich, E Lapid - Representation Theory of the American Mathematical …, 2021 - ams.org
Robinson–Schensted–Knuth correspondence in the representation theory of the general linear
group over a non-archimedean loca Page 1 REPRESENTATION THEORY An Electronic Journal …

An analogue of ladder representations for classical groups

H Atobe - International Mathematics Research Notices, 2024 - academic.oup.com
In this paper, we introduce a notion of ladder representations for split odd special orthogonal
groups and symplectic groups over a non-archimedean local field of characteristic zero. This …

Quantum invariants for decomposition problems in type A rings of representations

M Gurevich - Journal of Combinatorial Theory, Series A, 2021 - Elsevier
We prove a combinatorial rule for a complete decomposition, in terms of Langlands
parameters, for representations of p-adic GL n that appear as parabolic induction from a …

Models of representations and Langlands functoriality

A Mitra, E Sayag - Canadian Journal of Mathematics, 2020 - cambridge.org
In this article we explore the interplay between two generalizations of the Whittaker model,
namely the Klyachko models and the degenerate Whittaker models, and two functorial …

On the simplicity of the tensor product of two simple modules of quantum affine algebras

JR Li, L Bittmann - arXiv preprint arXiv:2203.17268, 2022 - arxiv.org
Lapid and M\'{i} nguez gave a criterion of the irreducibility of the parabolic induction
$\sigma\times\pi $, where $\sigma $ is a ladder representation and $\pi $ is an arbitrary …

Quantum invariants for decomposition problems in type A rings of representations

M Gurevich - arXiv preprint arXiv:1711.01721, 2017 - arxiv.org
We prove a combinatorial rule for a complete decomposition, in terms of Langlands
parameters, for representations of p-adic $ GL_n $ that appear as parabolic induction from a …

On the Hecke-Algebraic Approach for General Linear Groups Over a p-Adic Field

M Gurevich - Interactions of Quantum Affine Algebras with Cluster …, 2020 - Springer
On the Hecke-Algebraic Approach for General Linear Groups Over a p-Adic Field | SpringerLink
Skip to main content Advertisement SpringerLink Account Menu Find a journal Publish with …