Work

On J-folded Alcove Paths and Combinatorial Representations of Affine Hecke Algebras

Year: 2024

Type: article

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.

Source: Algebras and Representation Theory

DOI: 10.1007/s10468-024-10293-7

Authors: Jérémie Guilhot, Eloise Little, James Parkinson

Institutions: Université de Tours, Institut Denis Poisson, The University of Sydney

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Agence Nationale de la Recherche, Australian Research Council