8 citations · 26 across the 11 of their papers we have counts for
11 papers
Non-residually finite extensions of arithmetic groups
Richard Hill
The aim of the article is to show that there are many finite extensions of arithmetic groups which are not residually finite. Suppose is a simple algebraic group over the ratio…
P-adic interpolation of metaplectic forms of cohomological type
Richard Hill, David Loeffler
Let G be a reductive algebraic group over a number field k. It is shown how Emerton's methods may be applied to the problem of p-adically interpolating the metaplectic forms on G,…
Emerton's Jacquet functors for non-Borel parabolic subgroups
Richard Hill, David Loeffler
This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups. When P is a parabolic subgroup whose Levi factor M is not commu…
On Emerton's -adic Banach spaces
Richard Hill
The purpose of the current paper is to introduce some new methods for studying the -adic Banach spaces introduced by Emerton \cite{emerton}. We first relate these spaces to more…
Shintani Cocycles on $\GL_{n}$
Richard Hill
The aim of this paper is to define an n-1-cocycle on $\GL_{n}(\Q)$ with values in a certain space $\hD$ of distributions on $\A_f^{n}\setminus\{0\}$. Here $\A_f$ denotes the ri…
Geometric construction of metaplectic covers of $\GL_{n}$ in characteristic zero
Richard Hill
This paper presents a new construction of the m-fold metaplectic cover of $\GL_{n}$ over an algebraic number field k, where k contains a primitive m-th root of unity. A 2-cocycle o…