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arXiv · 2212.10781

On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras

Jérémie Guilhot·Eloise Little·James Parkinson
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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.

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BibTeXRIS

Jérémie Guilhot, Eloise Little, James Parkinson. 2022-12-21. On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras. https://arxiv.org/abs/2212.10781

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