Let F be a p-adic field. We shall assume that the characteristic of F is different from two.
Denote by R the direct sum of the Grothendieck groups of the categories of all smooth …

Jacquet modules are very useful in the study of parabolically induced representations of
reductive groups over a p-adic field F (we shall assume char F= 2 in this paper). It is very …

GSp (n, F). The inner geometry of these groups motivates us to consider the representations
of these groups as modules over representations of general linear groups. Such an idea …

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 …

The theory of $ L $-indistinguishability for inner forms of $ SL_2 $ has been established in
the well-known paper of Labesse and Langlands (L-indistinguishability forSL $(2) $. Canad …

In this paper we generalize the local Jacquet-Langlands correspondence to all unitary
irreducible representations. We prove the global Jacquet-Langlands correspondence in …

Jacquet modules of a reducible parabolically induced representation of a reductive p-adic
group reduce in a way consistent with the transitivity of Jacquet modules. This fact can be …

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Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite-
dimensional central division F-algebra, and let R be an algebraically closed field of …

Let\mathcal HH be any reductive p-adic group. We introduce a notion of cuspidality for
enhanced Langlands parameters for\mathcal HH, which conjecturally puts …