We study the relation between quantum affine algebras of type A and Grassmannian cluster
algebras. Hernandez and Leclerc described an isomorphism from the Grothendieck ring of a …

The goal of this paper is to make a connection between tropical geometry, representations of
quantum affine algebras, and scattering amplitudes in physics. The connection allows us to …

We study the family of irreducible modules for quantum affine 𝔰⁢ 𝔩 n+ 1 whose Drinfeld
polynomials are supported on just one node of the Dynkin diagram. We identify all the prime …

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 …

Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …

Snake modules introduced by Mukhin and Young form a family of modules of quantum affine
algebras. The aim of this paper is to prove that the Hernandez–Leclerc conjecture about …

In this article, we develop a process to symmetrize the irreducible admissible
representations of GL n (F) with F being a finite extension of Q p, as a consequence we …

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 …

Let be the Grothendieck ring of complex smooth finite-length representations of the
sequence of p-adic groups, with multiplication defined through parabolic induction. We study …

Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …