This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …

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 …

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 prove a local Gan–Gross–Prasad conjecture on predicting the branching law for the non-
tempered representations of general linear groups in the case of non-Archimedean fields …

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 …

In this mostly expository article, we consider certain homological aspects of branching laws
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …

Abstract Let π 1,…, π k be smooth irreducible representations of p-adic general linear
groups. We prove that the parabolic induction product π 1×⋯× π k has a unique irreducible …

Abstract Let S_1, ..., S_N S 1,…, SN simple finite-dimensional modules of a quantum affine
algebra. We prove that if S_i ⊗ S_j S i⊗ S j is cyclic for any i< ji< j (ie generated by the tensor …