6 citations · 6 across the 17 of their papers we have counts for
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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…
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,…
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…
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…
A proof of Lusztig's conjectures for affine type with arbitrary parameters
J. Guilhot, J. Parkinson
We prove Lusztig's conjectures -- for the affine Weyl group of type for all choices of parameters. Our approach to compute Lusztig's …
Admissible subsets and Littelmann paths in affine Kazhdan-Lusztig theory
Jeremie Guilhot
The center of an extended affine Hecke algebra is known to be isomorphic to the ring of symmetric functions associated to the underlying finite Weyl group . The set of Weyl c…