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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…
math.GR2022
Automorphisms and opposition in spherical buildings of exceptional type, II: Moufang hexagons
James Parkinson, Hendrik Van Maldeghem
We classify the automorphisms of a Moufang hexagon mapping no chamber to an opposite chamber (such automorphisms are called domestic). This forms part of a larger program to classi…