On J-folded Alcove Paths and Combinatorial Representations of Affine Hecke Algebras
Abstract We introduce the combinatorial model of J -folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combinatorial formulae to Kazhdan-Lusztig theory and Opdam’s Plancherel Theorem.
Authors
- James Parkinson
- Eloise Little
- Jérémie Guilhot
Institutions
- Université de Tours (FR)
- The University of Sydney (AU)
- Institut Denis Poisson (FR)
Publication Details
- Journal
- Algebras and Representation Theory
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1007/s10468-024-10293-7
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Australian Research Council