R. Plymen

activity

19992026

p

-adic groups with disconnected centre

14 citations · 108 across the 42 of their papers we have counts for

collaborators

47 papers

math.RT2026

Geometry and topology of the tempered Iwahori-spherical representations of a split semisimple $p$ -adic group

Dominic Majda, Graham A. Niblo, Roger Plymen +1

Let $G$ be a connected split $p$ -adic group of type $B_{n}$ , $C_{n}$ or $D_{n}$ . Amongst the tempered representations of $G$ a key role is played by the Iwahori-sph…

math.RT2026

A twisted Hecke algebra, then and now, and a Klein bottle of tempered representations

Anne-Marie Aubert, Roger Plymen

Let $F$ be a non-archimedean local field such that $4∣ q - 1$ , with $q$ the order of the residue field of $F$ , and let $(M^{0}, σ^{0})$ be the depth-zero cuspidal pair for the twisted Levi…

math.RT2024

Comparison of the Sally-Shalika character formulas with the endoscopic character identities for $SL_{2}$

Anne-Marie Aubert, Roger Plymen

We consider the depth-zero supercuspidal $L$ -packets of $SL_{2} (F)$ where $F$ is a non-archimedean local field of characteristic zero. We compare the explicit endoscopic cha…

math.GR2022

Centralisers, complex reflection groups and actions in the Weyl group $E_{6}$

Graham A. Niblo, Roger Plymen, Nick Wright

The compact, connected Lie group $E_{6}$ admits two forms: simply connected and adjoint type. As we previously established, the Baum-Connes isomorphism relates the two Langlands dual…

math-ph2022

$2$ -Spinors via Linear Algebra

Roger Plymen

We give a streamlined account of $2$ -spinors, up to and including the Dirac equation, using little more than the resources of linear algebra. We prove that the Dirac bundle is isom…

math.RT2020

Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with appendix by Jessica Fintzen)

Anne-Marie Aubert, Roger Plymen

Let $E / F$ be a finite and Galois extension of non-archimedean local fields. Let $G$ be a connected reductive group defined over $E$ and let $M := R_{E / F} G$ be the red…

Geometry and topology of the tempered Iwahori-spherical representations of a split semisimple p-adic group

A twisted Hecke algebra, then and now, and a Klein bottle of tempered representations

Comparison of the Sally-Shalika character formulas with the endoscopic character identities for SL2​

Centralisers, complex reflection groups and actions in the Weyl group E6​

2-Spinors via Linear Algebra

Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with appendix by Jessica Fintzen)

Geometry and topology of the tempered Iwahori-spherical representations of a split semisimple $p$ -adic group

Comparison of the Sally-Shalika character formulas with the endoscopic character identities for $SL_{2}$

Centralisers, complex reflection groups and actions in the Weyl group $E_{6}$

$2$ -Spinors via Linear Algebra