2 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.RT2018
Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for
J. Guilhot, J. Parkinson
We prove Lusztig's conjectures - for the affine Weyl group of type for all choices of positive weight function. Our approach to computing Lusztig…