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 π 1 be a standard representation of GL n+ 1 (F) and let π 2 be the smooth dual of a
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …

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 …

We relate the classes of unitary and calibrated representations of cyclotomic Hecke
algebras, and, in particular, we show that for the most important deformation parameters …

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 …

Sažetak The purpose of this paper is to determine Jacquet modules of discrete series which
are obtained by adding a pair of consecutive elements to the Jordan block of an irreducible …

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 …

We construct an exact functor from the category of Harish-Chandra modules of $\mathrm
{GL} _n (\mathbb C) $ to the category of finite-dimensional modules of graded Hecke …

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 | SpringerLink
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