6 citations · 6 across the 17 of their papers we have counts for
19 papers
Kazhdan-Lusztig bases of parabolic Hecke algebras and applications to Schur-Weyl duality
Jeremie Guilhot, Loic Poulain d'Andecy
With an eye to applications to type A and Schur-Weyl duality, we study Kazhdan-Lusztig bases for a general parabolic Hecke algebra. Parabolic Hecke algebras are idempotent subalgeb…
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…
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,…
Homology rings of affine grassmannians and positively multiplicative graphs
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
Let be an untwisted affine Lie algebra with associated Weyl group . To any level 0 weight we associate a weighted graph that encodes the orbit of …
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…
Quantum cohomology of the Grassmannian and unitary Dyson Brownian motion
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
We study a class of commuting Markov kernels whose simplest element describes the movement of particles on a discrete circle of size conditioned to not intersect each other…