R. Plymen

collaborators

3 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 $(M^{0}, I ¨ ^{0})$ be the depth-zero cuspidal pair for the twisted Lev…

math.RT2025

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…

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​

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 $SL_{2}$