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 …

Let be a non-Archimedean locally compact field of residue characteristic, let be a finite-
dimensional central division-algebra and let be a prime number different from. We develop a …

Motivated by the Langlands program in representation theory, number theory, and geometry,
the theory of representations of a reductive p-adic group, originally in complex vector …

Motivated by the Langlands program in representation theory, number theory and geometry,
the theory of representations of a reductive $ p $-adic group over a coefficient ring different …

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 a non-Archimedean locally compact field, be the cardinality of its residue field, and be
an algebraically closed field of characteristic not dividing. We classify all irreducible smooth …

Let $\mathrm {F} $ be a local non-archimedean field of residue characteristic $ p $ and
$\overline {\mathbb {F}} _\ell $ an algebraic closure of a finite field of characteristic $\ell\neq …

We study how Rankin-Selberg periods interact with integral structures in spherical Whittaker
type representations. Using this representation-theoretic framework, we show that the local …

For an odd prime $ p $ and an unramified maximal torus $ H $ of $\mathrm {GL} _ {2/\mathbf
{Q} _p} $, inspired by work of Loeffler-Skinner-Zerbes, we construct natural $ H (\mathbf {Q} …

Let G denote the group of rational points of a split connected reductive group over a
nonarchimedean local field. Furthermore, let R denote a quasi-Frobenius ring and let H …