This graduate-level textbook provides an elementary exposition of the theory of automorphic
representations and L-functions for the general linear group in an adelic setting. Definitions …

We define and construct Ramanujan complexes. These are simplicial complexes which are
higher dimensional analogues of Ramanujan graphs (constructed in [LPS]). They are …

Let F be a local non-archimedean field of characteristic 0 and let A be a division algebra
whose center is F. Let d (A) 2= dimF AP Deligne, D. Kazhdan and M.-F. Vigneras obtained in …

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 …

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

Let G= GLn (K) where K is either R or C and let P= Pn (K) be the subgroup of matrices in
GLn (K) consisting of matrices whose last row (0, 0,..., 0, 1). Let ir be an irreducible unitary …

We classify the irreducible unitarizable representations ofclassical groups over a local field
of characteristic 0 which admit a Whittaker model with respect to a nondegenerate character …

In this paper we provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to
the context of essentially self-dual representations, that is representations which are …

Given a (complex, smooth) irreducible representation $\pi $ of the general linear group over
a non-archimedean local field and an irreducible supercuspidal representation $\sigma $ of …

In this paper, we consider representations of $ p $-adic classical groups parabolically
induced from the products of shifted Speh representations and unitary representations of …