3 papers
math.GR2025
Bounded weight functions on regular languages and groups
J. Guilhot, E. Little, J. Parkinson
We introduce the notion of a bounded weight function on a language, and show that the set of bounded weight functions on a regular language is a rational polyhedral cone. We study…
math.RT2024
The asymptotic Plancherel formula and Lusztig's asymptotic algebra for
Nathan Chapelier-Laget, Jérémie Guilhot, Eloise Little +1
The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type . To do so, we construct a balanced system of cell modules,…
math.RT2022
On -folded alcove paths and combinatorial representations of affine Hecke algebras
Jérémie Guilhot, Eloise Little, James Parkinson
We introduce the combinatorial model of -folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundednes…