R. Plymen

activity

19992026

p

-adic groups with disconnected centre

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

collaborators

Showing math.RTShow all

26 papers · 1 filter

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.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…

math.RT2018

On depth in the local Langlands correspondence for tori

Anne-Marie Aubert, Roger Plymen

Let $K$ be a non-archimedean local field. In the local Langlands correspondence for tori over $K$ , we prove an asymptotic result for the depths.

math.RT2018

Note on the non-preservation of depth

Roger Plymen

Let $K$ be a local field of characteristic $p$ . We consider the local Langlands correspondence for tori, and construct examples for which depth is not preserved.

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​

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

On depth in the local Langlands correspondence for tori

Note on the non-preservation of depth

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 $SL_{2}$