Let F be a local field. The action of GLn(F) on the Grassmann variety Gr(m,n,F) induces a continuous representation of the maximal compact subgroup of GLn(F) on the space of L2-functions onâ€¦ (More)

We study geometric representations of GL(n, R) for a ring R. The structure of the associated Hecke algebras is analyzed and shown to be cellular. Multiplicities of the irreducible constituents ofâ€¦ (More)

In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number ofâ€¦ (More)

Let o be a complete discrete valuation domain with finite residue field. In this paper we describe the irreducible representations of the groups Aut(M) for any finite o-module M of rank two. The mainâ€¦ (More)

We study a family of complex representations of the group GL n (o), where o is the ring of integers of a non-archimedean local field F. These representations occur in the restriction of the Grassmannâ€¦ (More)

LU factorizations, q = 0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials Abstract For little q-Jacobi polynomials and q-Hahn polynomials we give particularâ€¦ (More)

This paper generalizes some aspects of J. A. Green's work on the cuspidal representations of general linear groups over finite fields to general linear groups over finite quotients of discreteâ€¦ (More)