We further develop the abstract representation theory of affine Hecke algebras with arbitrary
positive parameters. We establish analogues of several results that are known for reductive …

In this paper, we study extensions of graded affine Hecke algebra modules. In particular,
based on an explicit projective resolution on graded affine Hecke algebra modules, we …

In this paper, we recover certain known results about the ladder representations of GL (n, ℚ
p) GL (n, Q _ p) defined and studied by Lapid, Mínguez, and Tadić. We work in the …

In this paper, we consider the star operations for (graded) affine Hecke algebras which
preserve certain natural filtrations. We show that, up to inner conjugation, there are only two …

Let $ P, Q $ be standard parabolic subgroups of a $ p $-adic reductive group $ G $. We
study the smooth dual of the filtration on a parabolically induced module arising from the …

The smooth hermitian representations of a split reductive $ p $-adic group whose restriction
to a maximal hyperspecial compact subgroup contain a single $ K $-type with Iwahori fixed …

In this paper, we establish connections between the first extensions of simple modules and
certain filtrations of of standard modules in the setting of graded Hecke algebras. The …

In this dissertation, we study extensions of graded affine Hecke algebra modules. In
particular, based on an explicit projective resolution on graded affine Hecke algebra …

Let (π, V) be an irreducible finite-dimensional representation of a real reductive Lie group G.
We discuss the non-degenerate G-invariant hermitian form⟨·,·⟩ G on V. If dimV> 1, G is …

The object of these lectures is to present the necessary background for some aspects of the
representation theory and harmonic analysis of affine Hecke algebras (eg, classification of …