activity
20032026
most citedOn Cuspidal Representations of General Linear Groups over Discrete Valuation Rings

26 citations · 125 across the 37 of their papers we have counts for

collaborators

42 papers

math.RT2026

A nonabelian Fourier transform for tempered unipotent representations, II

Anne-Marie Aubert, Dan Ciubotaru, Beth Romano

We extend the construction of the nonabelian Fourier transform proposed in our previous paper from the space of unipotent elliptic characters to the space of unipotent compact char…

math.RT2026

The theta correspondence over finite fields

Anne-Marie Aubert

This set of lecture notes is an expanded version of a mini-course the author gave in March of 2025 for the program ``Representation Theory \& Noncommutative Geometry" at the Instit…

math.RT2026

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

Anne-Marie Aubert, Roger Plymen

Let be a non-archimedean local field such that , with the order of the residue field of , and let be the depth-zero cuspidal pair for the twisted Levi…

math.RT2025

On the Macdonald correspondence

Anne-Marie Aubert

In 1980 Ian G. Macdonald established an explicit bijection between the isomorphism classes of the irreducible representations of , where is a finite field,…

math.RT2024

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

Anne-Marie Aubert, Roger Plymen

We consider the depth-zero supercuspidal -packets of where is a non-archimedean local field of characteristic zero. We compare the explicit endoscopic cha…

math.RT2024

Typical representations for

Anne-Marie Aubert, Luis Gutiérrez Frez

Let be a non Archimedean local field with odd residual characteristic, and let be a hyperspecial maximal compact subgroup of the -adic symplectic group $G=\mathrm{Sp}_4(…