14 citations · 108 across the 42 of their papers we have counts for
16 papers · 1 filter
Poincaré duality and Langlands duality for extended affine Weyl groups
Graham A. Niblo, Roger Plymen, Nick Wright
In this paper we construct an equivariant Poincaré duality between dual tori equipped with finite group actions. We use this to demonstrate that Langlands duality induces a rationa…
Stratified Langlands duality in the tower
Graham A. Niblo, Roger Plymen, Nick Wright
Let denote a maximal torus in the complex Lie group and let denote a maximal torus in its compact real form $\math…
Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality
Graham A. Niblo, Roger Plymen, Nick Wright
In this paper we consider the Baum-Connes correspondence for the affine and extended affine Weyl groups of a compact connected semisimple Lie group. We show that the Baum-Connes co…
Functoriality and K-theory for
Sergio Mendes, Roger Plymen
We investigate base change and automorphic induction at the level of K-theory for the general linear group . In the course of this study,…
K-theory and the connection index
Tayyab Kamran, Roger Plymen
Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal…
R-groups and geometric structure in the representation theory of SL(N)
Jamila Jawdat, Roger Plymen
Let be a nonarchimedean local field of characteristic zero and let SL(N) = SL(N,F). This article is devoted to studying the influence of the elliptic representations of SL(N) o…